7215292656 has 480 divisors, whose sum is σ = 24958402560. Its totient is φ = 1916006400.

The previous prime is 7215292639. The next prime is 7215292681. The reversal of 7215292656 is 6562925127.

7215292656 is a `hidden beast` number, since 72 + 1 + 529 + 2 + 6 + 56 = 666.

It is a super-2 number, since 2×7215292656² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56813265 + ... + 56813391.

It is an arithmetic number, because the mean of its divisors is an integer number (51996672).

Almost surely, 2^7215292656 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 7215292656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479201280).

7215292656 is an abundant number, since it is smaller than the sum of its proper divisors (17743109904).

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

7215292656 is a wasteful number, since it uses less digits than its factorization.

7215292656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 7215292656 is about 84942.8787833330. The cubic root of 7215292656 is about 1932.3449225353.

The spelling of 7215292656 in words is "seven billion, two hundred fifteen million, two hundred ninety-two thousand, six hundred fifty-six".