7957873797120 has 2304 divisors, whose sum is σ = 33806354400000. Its totient is φ = 1776493264896.

The previous prime is 7957873797109. The next prime is 7957873797161. The reversal of 7957873797120 is 217973787597.

7957873797120 is a `hidden beast` number, since 7 + 9 + 57 + 87 + 379 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15947642631 + ... + 15947643129.

It is an arithmetic number, because the mean of its divisors is an integer number (14672896875).

Almost surely, 2^{7957873797120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7957873797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16903177200000).

7957873797120 is an abundant number, since it is smaller than the sum of its proper divisors (25848480602880).

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

7957873797120 is a wasteful number, since it uses less digits than its factorization.

7957873797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 326728080, while the sum is 72.

The spelling of 7957873797120 in words is "seven trillion, nine hundred fifty-seven billion, eight hundred seventy-three million, seven hundred ninety-seven thousand, one hundred twenty".