7957058832468 has 42 divisors (see below), whose sum is σ = 20877728789274. Its totient is φ = 2652352943184.

The previous prime is 7957058832467. The next prime is 7957058832473. The reversal of 7957058832468 is 8642388507597.

7957058832468 is a `hidden beast` number, since 7 + 9 + 5 + 7 + 0 + 588 + 32 + 4 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7775163406404 + 181895426064 = 2788398^2 + 426492^2 .

It is a super-2 number, since 2×7957058832468² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7957058832396 and 7957058832405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7957058832461) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1364376171 + ... + 1364382002.

It is an arithmetic number, because the mean of its divisors is an integer number (497088780697).

Almost surely, 2^{7957058832468} is an apocalyptic number.

It is an amenable number.

7957058832468 is an abundant number, since it is smaller than the sum of its proper divisors (12920669956806).

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

7957058832468 is a wasteful number, since it uses less digits than its factorization.

7957058832468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728758195 (or 2728758178 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 7957058832468 in words is "seven trillion, nine hundred fifty-seven billion, fifty-eight million, eight hundred thirty-two thousand, four hundred sixty-eight".