7932145568256 has 960 divisors, whose sum is σ = 29734231887360. Its totient is φ = 1978340474880.

The previous prime is 7932145568209. The next prime is 7932145568293. The reversal of 7932145568256 is 6528655412397.

7932145568256 is a `hidden beast` number, since 7 + 9 + 3 + 2 + 1 + 45 + 568 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7932145568193 and 7932145568202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858359796 + ... + 858369036.

It is an arithmetic number, because the mean of its divisors is an integer number (30973158216).

Almost surely, 2^{7932145568256} 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 7932145568256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14867115943680).

7932145568256 is an abundant number, since it is smaller than the sum of its proper divisors (21802086319104).

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

7932145568256 is a wasteful number, since it uses less digits than its factorization.

7932145568256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9378 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 7932145568256 in words is "seven trillion, nine hundred thirty-two billion, one hundred forty-five million, five hundred sixty-eight thousand, two hundred fifty-six".