27712637568 has 1344 divisors, whose sum is σ = 114384636000. Its totient is φ = 6584094720.

The previous prime is 27712637489. The next prime is 27712637611. The reversal of 27712637568 is 86573621772.

It is a happy number.

27712637568 is a `hidden beast` number, since 2 + 7 + 7 + 12 + 63 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5927040) is a multiple of the sum of its prime factors (105).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 955608178 + ... + 955608206.

Almost surely, 2^27712637568 is an apocalyptic number.

27712637568 is a gapful number since it is divisible by the number (28) 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 27712637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57192318000).

27712637568 is an abundant number, since it is smaller than the sum of its proper divisors (86671998432).

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

27712637568 is a wasteful number, since it uses less digits than its factorization.

27712637568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 27712637568 in words is "twenty-seven billion, seven hundred twelve million, six hundred thirty-seven thousand, five hundred sixty-eight".