27632412720 has 240 divisors, whose sum is σ = 101506672800. Its totient is φ = 6680801280.

The previous prime is 27632412677. The next prime is 27632412721. The reversal of 27632412720 is 2721423672.

It is a happy number.

27632412720 is a `hidden beast` number, since 2 + 7 + 632 + 4 + 12 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27632412721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3076396 + ... + 3085364.

It is an arithmetic number, because the mean of its divisors is an integer number (422944470).

Almost surely, 2^27632412720 is an apocalyptic number.

27632412720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27632412720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50753336400).

27632412720 is an abundant number, since it is smaller than the sum of its proper divisors (73874260080).

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

27632412720 is a wasteful number, since it uses less digits than its factorization.

27632412720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 27632412720 in words is "twenty-seven billion, six hundred thirty-two million, four hundred twelve thousand, seven hundred twenty".