7697851056 has 480 divisors, whose sum is σ = 27617660928. Its totient is φ = 1950842880.

The previous prime is 7697851043. The next prime is 7697851067. The reversal of 7697851056 is 6501587967.

7697851056 is a `hidden beast` number, since 7 + 6 + 9 + 78 + 510 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7697850993 and 7697851011.

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, 22842120 + ... + 22842456.

Almost surely, 2^7697851056 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 7697851056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808830464).

7697851056 is an abundant number, since it is smaller than the sum of its proper divisors (19919809872).

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

7697851056 is a wasteful number, since it uses less digits than its factorization.

7697851056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 7697851056 is about 87737.3982746240. The cubic root of 7697851056 is about 1974.4971047523.

The spelling of 7697851056 in words is "seven billion, six hundred ninety-seven million, eight hundred fifty-one thousand, fifty-six".