7876896168960 has 1584 divisors, whose sum is σ = 34477065133056. Its totient is φ = 1648072065024.

The previous prime is 7876896168937. The next prime is 7876896168979. The reversal of 7876896168960 is 698616986787.

It is a self number, because there is not a number n which added to its sum of digits gives 7876896168960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3727824864 + ... + 3727826976.

Almost surely, 2^{7876896168960} is an apocalyptic number.

7876896168960 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 7876896168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238532566528).

7876896168960 is an abundant number, since it is smaller than the sum of its proper divisors (26600168964096).

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

7876896168960 is a wasteful number, since it uses less digits than its factorization.

7876896168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 7876896168960 in words is "seven trillion, eight hundred seventy-six billion, eight hundred ninety-six million, one hundred sixty-eight thousand, nine hundred sixty".