27615217680 has 80 divisors (see below), whose sum is σ = 95119090560. Its totient is φ = 7364057472.

The previous prime is 27615217657. The next prime is 27615217687. The reversal of 27615217680 is 8671251672.

27615217680 is a `hidden beast` number, since 2 + 7 + 61 + 521 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27615217687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6390252 + ... + 6394571.

It is an arithmetic number, because the mean of its divisors is an integer number (1188988632).

Almost surely, 2^27615217680 is an apocalyptic number.

27615217680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27615217680 is an abundant number, since it is smaller than the sum of its proper divisors (67503872880).

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

27615217680 is a wasteful number, since it uses less digits than its factorization.

27615217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12784845 (or 12784833 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 27615217680 in words is "twenty-seven billion, six hundred fifteen million, two hundred seventeen thousand, six hundred eighty".