27732968572480 has 56 divisors (see below), whose sum is σ = 68316342864120. Its totient is φ = 10710663720960.

The previous prime is 27732968572447. The next prime is 27732968572501. The reversal of 27732968572480 is 8427586923772.

It can be written as a sum of positive squares in 4 ways, for example, as 7349043871744 + 20383924700736 = 2710912^2 + 4514856^2 .

It is a hoax number, since the sum of its digits (70) coincides with the sum of the digits of its distinct prime factors.

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, 1494223941 + ... + 1494242500.

Almost surely, 2^{27732968572480} is an apocalyptic number.

27732968572480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27732968572480 is an abundant number, since it is smaller than the sum of its proper divisors (40583374291640).

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

27732968572480 is a wasteful number, since it uses less digits than its factorization.

27732968572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988466487 (or 2988466477 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 70.

The spelling of 27732968572480 in words is "twenty-seven trillion, seven hundred thirty-two billion, nine hundred sixty-eight million, five hundred seventy-two thousand, four hundred eighty".