7379887656960 has 4160 divisors, whose sum is σ = 35805589585920. Its totient is φ = 1410339962880.

The previous prime is 7379887656959. The next prime is 7379887657013. The reversal of 7379887656960 is 696567889737.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 7379887656960.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 88914309079 + ... + 88914309161.

Almost surely, 2^{7379887656960} is an apocalyptic number.

7379887656960 is a gapful number since it is divisible by the number (70) 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 7379887656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902794792960).

7379887656960 is an abundant number, since it is smaller than the sum of its proper divisors (28425701928960).

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

7379887656960 is a wasteful number, since it uses less digits than its factorization.

7379887656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5761082880, while the sum is 81.

The spelling of 7379887656960 in words is "seven trillion, three hundred seventy-nine billion, eight hundred eighty-seven million, six hundred fifty-six thousand, nine hundred sixty".