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6680076480 = 263457113347
BaseRepresentation
bin1100011100010100…
…11110000011000000
3122020112202001020000
412032022132003000
5102140044421410
63022505120000
7324352466430
oct61612360300
918215661200
106680076480
112918802370
121365189000
13825c5079c
1447527c2c0
152916c1dc0
hex18e29e0c0

6680076480 has 560 divisors, whose sum is σ = 29634460416. Its totient is φ = 1387653120.

The previous prime is 6680076479. The next prime is 6680076503. The reversal of 6680076480 is 846700866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1994167 + ... + 1997513.

Almost surely, 26680076480 is an apocalyptic number.

6680076480 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 6680076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817230208).

6680076480 is an abundant number, since it is smaller than the sum of its proper divisors (22954383936).

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

6680076480 is a wasteful number, since it uses less digits than its factorization.

6680076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6680076480 is about 81731.7348402687. The cubic root of 6680076480 is about 1883.3331243550. Note that the first 3 decimals are identical.

The spelling of 6680076480 in words is "six billion, six hundred eighty million, seventy-six thousand, four hundred eighty".