7251685056 has 560 divisors, whose sum is σ = 27580937472. Its totient is φ = 1828915200.

The previous prime is 7251685043. The next prime is 7251685069. The reversal of 7251685056 is 6505861527.

7251685056 is a `hidden beast` number, since 7 + 2 + 516 + 85 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (7251685043) and next prime (7251685069).

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 79 ways as a sum of consecutive naturals, for example, 14768971 + ... + 14769461.

Almost surely, 2^7251685056 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 7251685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790468736).

7251685056 is an abundant number, since it is smaller than the sum of its proper divisors (20329252416).

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

7251685056 is a wasteful number, since it uses less digits than its factorization.

7251685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 7251685056 is about 85156.8262442888. The cubic root of 7251685056 is about 1935.5882545355.

The spelling of 7251685056 in words is "seven billion, two hundred fifty-one million, six hundred eighty-five thousand, fifty-six".