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6678792314880 = 21335723439769
BaseRepresentation
bin110000100110000011100…
…0010110010000000000000
3212122111010112000220211220
41201030013002302000000
51333411131313034010
622112110030035040
71256345461664010
oct141140702620000
925574115026756
106678792314880
112145507167354
128ba48a048a80
13395a65b6991a
1419138067bc40
15b8ae626b970
hex613070b2000

6678792314880 has 896 divisors, whose sum is σ = 25576982323200. Its totient is φ = 1454987280384.

The previous prime is 6678792314863. The next prime is 6678792314899. The reversal of 6678792314880 is 884132978766.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8685035136 + ... + 8685035904.

It is an arithmetic number, because the mean of its divisors is an integer number (28545739200).

Almost surely, 26678792314880 is an apocalyptic number.

6678792314880 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 6678792314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788491161600).

6678792314880 is an abundant number, since it is smaller than the sum of its proper divisors (18898190008320).

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

6678792314880 is a wasteful number, since it uses less digits than its factorization.

6678792314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 69.

The spelling of 6678792314880 in words is "six trillion, six hundred seventy-eight billion, seven hundred ninety-two million, three hundred fourteen thousand, eight hundred eighty".