71508657864 has 64 divisors (see below), whose sum is σ = 205780377600. Its totient is φ = 20284052544.

The previous prime is 71508657841. The next prime is 71508657893. The reversal of 71508657864 is 46875680517.

It is a happy number.

It is a super-3 number, since 3×71508657864³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 1507752 + ... + 1554455.

It is an arithmetic number, because the mean of its divisors is an integer number (3215318400).

Almost surely, 2^71508657864 is an apocalyptic number.

It is an amenable number.

71508657864 is an abundant number, since it is smaller than the sum of its proper divisors (134271719736).

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

71508657864 is a wasteful number, since it uses less digits than its factorization.

71508657864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062362 (or 3062358 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 71508657864 in words is "seventy-one billion, five hundred eight million, six hundred fifty-seven thousand, eight hundred sixty-four".