27687806304 has 48 divisors (see below), whose sum is σ = 73871990640. Its totient is φ = 9077967360.

The previous prime is 27687806299. The next prime is 27687806351. The reversal of 27687806304 is 40360878672.

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

It is a super-2 number, since 2×27687806304² (a number of 22 digits) contains 22 as substring.

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 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, 2358199 + ... + 2369910.

It is an arithmetic number, because the mean of its divisors is an integer number (1538999805).

Almost surely, 2^27687806304 is an apocalyptic number.

27687806304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27687806304 is an abundant number, since it is smaller than the sum of its proper divisors (46184184336).

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

27687806304 is a wasteful number, since it uses less digits than its factorization.

27687806304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728183 (or 4728175 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 27687806304 in words is "twenty-seven billion, six hundred eighty-seven million, eight hundred six thousand, three hundred four".