27777645432 has 96 divisors (see below), whose sum is σ = 76178119680. Its totient is φ = 9143377920.

The previous prime is 27777645407. The next prime is 27777645433. The reversal of 27777645432 is 23454677772.

27777645432 is a `hidden beast` number, since 27 + 7 + 7 + 76 + 4 + 543 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27777645433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1896457 + ... + 1911047.

It is an arithmetic number, because the mean of its divisors is an integer number (793522080).

Almost surely, 2^27777645432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27777645432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38089059840).

27777645432 is an abundant number, since it is smaller than the sum of its proper divisors (48400474248).

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

27777645432 is a wasteful number, since it uses less digits than its factorization.

27777645432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14933 (or 14926 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 54.

The spelling of 27777645432 in words is "twenty-seven billion, seven hundred seventy-seven million, six hundred forty-five thousand, four hundred thirty-two".