7905406564 has 24 divisors (see below), whose sum is σ = 15108782976. Its totient is φ = 3589404000.

The previous prime is 7905406559. The next prime is 7905406571. The reversal of 7905406564 is 4656045097.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58527 + ... + 138694.

It is an arithmetic number, because the mean of its divisors is an integer number (629532624).

Almost surely, 2^7905406564 is an apocalyptic number.

It is an amenable number.

7905406564 is a deficient number, since it is larger than the sum of its proper divisors (7203376412).

7905406564 is a wasteful number, since it uses less digits than its factorization.

7905406564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198147 (or 198145 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The square root of 7905406564 is about 88912.3532699478. The cubic root of 7905406564 is about 1992.0859387906.

The spelling of 7905406564 in words is "seven billion, nine hundred five million, four hundred six thousand, five hundred sixty-four".