27760668400 has 30 divisors (see below), whose sum is σ = 66695006792. Its totient is φ = 11104267200.

The previous prime is 27760668391. The next prime is 27760668413. The reversal of 27760668400 is 486606772.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 34700436 + ... + 34701235.

Almost surely, 2^27760668400 is an apocalyptic number.

27760668400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27760668400 is an abundant number, since it is smaller than the sum of its proper divisors (38934338392).

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

27760668400 is a wasteful number, since it uses less digits than its factorization.

27760668400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69401689 (or 69401678 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 27760668400 in words is "twenty-seven billion, seven hundred sixty million, six hundred sixty-eight thousand, four hundred".