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6676972922880 = 2113451321923109
BaseRepresentation
bin110000100101001101010…
…0110010110100000000000
3212122022102201112020020000
41201022122212112200000
51333343420032013010
622111205314120000
71256252420262111
oct141123246264000
925568381466200
106676972922880
1121447631681a7
128ba060880000
13395835c4a100
1419124ab98208
15b8a3b6827c0
hex6129a996800

6676972922880 has 2880 divisors, whose sum is σ = 28726025328000. Its totient is φ = 1475697180672.

The previous prime is 6676972922849. The next prime is 6676972922909. The reversal of 6676972922880 is 882292796766.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6676972922799 and 6676972922808.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 61256632266 + ... + 61256632374.

It is an arithmetic number, because the mean of its divisors is an integer number (9974314350).

Almost surely, 26676972922880 is an apocalyptic number.

6676972922880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6676972922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14363012664000).

6676972922880 is an abundant number, since it is smaller than the sum of its proper divisors (22049052405120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6676972922880 is a wasteful number, since it uses less digits than its factorization.

6676972922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 6676972922880 in words is "six trillion, six hundred seventy-six billion, nine hundred seventy-two million, nine hundred twenty-two thousand, eight hundred eighty".