27758501664 has 96 divisors (see below), whose sum is σ = 73316638080. Its totient is φ = 9195804672.

The previous prime is 27758501609. The next prime is 27758501711. The reversal of 27758501664 is 46610585772.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 12988404 + ... + 12990540.

It is an arithmetic number, because the mean of its divisors is an integer number (763714980).

Almost surely, 2^27758501664 is an apocalyptic number.

27758501664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27758501664 is an abundant number, since it is smaller than the sum of its proper divisors (45558136416).

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

27758501664 is a wasteful number, since it uses less digits than its factorization.

27758501664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 27758501664 in words is "twenty-seven billion, seven hundred fifty-eight million, five hundred one thousand, six hundred sixty-four".