7657716456 has 64 divisors (see below), whose sum is σ = 22907707200. Its totient is φ = 2356219584.

The previous prime is 7657716449. The next prime is 7657716457. The reversal of 7657716456 is 6546177567.

7657716456 is a `hidden beast` number, since 7 + 6 + 577 + 1 + 64 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7657716457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360746 + ... + 1366361.

It is an arithmetic number, because the mean of its divisors is an integer number (357932925).

Almost surely, 2^7657716456 is an apocalyptic number.

It is an amenable number.

7657716456 is an abundant number, since it is smaller than the sum of its proper divisors (15249990744).

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

7657716456 is a wasteful number, since it uses less digits than its factorization.

7657716456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727135 (or 2727125 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The square root of 7657716456 is about 87508.3793473516. The cubic root of 7657716456 is about 1971.0596183973.

The spelling of 7657716456 in words is "seven billion, six hundred fifty-seven million, seven hundred sixteen thousand, four hundred fifty-six".