27772587640 has 128 divisors (see below), whose sum is σ = 73377239040. Its totient is φ = 9262895616.

The previous prime is 27772587631. The next prime is 27772587709. The reversal of 27772587640 is 4678527772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2191402 + ... + 2204038.

It is an arithmetic number, because the mean of its divisors is an integer number (573259680).

Almost surely, 2^27772587640 is an apocalyptic number.

27772587640 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 27772587640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36688619520).

27772587640 is an abundant number, since it is smaller than the sum of its proper divisors (45604651400).

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

27772587640 is a wasteful number, since it uses less digits than its factorization.

27772587640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12869 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 55.

The spelling of 27772587640 in words is "twenty-seven billion, seven hundred seventy-two million, five hundred eighty-seven thousand, six hundred forty".