27981413664 has 48 divisors (see below), whose sum is σ = 75242714400. Its totient is φ = 9099645440.

The previous prime is 27981413641. The next prime is 27981413671. The reversal of 27981413664 is 46631418972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3550614 + ... + 3558485.

It is an arithmetic number, because the mean of its divisors is an integer number (1567556550).

Almost surely, 2^27981413664 is an apocalyptic number.

27981413664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27981413664 is an abundant number, since it is smaller than the sum of its proper divisors (47261300736).

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

27981413664 is a wasteful number, since it uses less digits than its factorization.

27981413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7109153 (or 7109145 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 27981413664 in words is "twenty-seven billion, nine hundred eighty-one million, four hundred thirteen thousand, six hundred sixty-four".