27664076640 has 48 divisors (see below), whose sum is σ = 87141842928. Its totient is φ = 7377086976.

The previous prime is 27664076621. The next prime is 27664076651. The reversal of 27664076640 is 4667046672.

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

It is a super-2 number, since 2×27664076640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27664076640.

It is a congruent number.

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, 28816267 + ... + 28817226.

It is an arithmetic number, because the mean of its divisors is an integer number (1815455061).

Almost surely, 2^27664076640 is an apocalyptic number.

27664076640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27664076640 is an abundant number, since it is smaller than the sum of its proper divisors (59477766288).

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

27664076640 is a wasteful number, since it uses less digits than its factorization.

27664076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57633511 (or 57633503 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 27664076640 in words is "twenty-seven billion, six hundred sixty-four million, seventy-six thousand, six hundred forty".