7568400264 has 64 divisors (see below), whose sum is σ = 20559360000. Its totient is φ = 2312919360.

The previous prime is 7568400241. The next prime is 7568400299. The reversal of 7568400264 is 4620048657.

It is a super-2 number, since 2×7568400264² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253564 + ... + 281835.

It is an arithmetic number, because the mean of its divisors is an integer number (321240000).

Almost surely, 2^7568400264 is an apocalyptic number.

It is an amenable number.

7568400264 is an abundant number, since it is smaller than the sum of its proper divisors (12990959736).

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

7568400264 is a wasteful number, since it uses less digits than its factorization.

7568400264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535458 (or 535454 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 7568400264 is about 86996.5531730999. The cubic root of 7568400264 is about 1963.3664435088.

The spelling of 7568400264 in words is "seven billion, five hundred sixty-eight million, four hundred thousand, two hundred sixty-four".