27641142864 has 80 divisors (see below), whose sum is σ = 79386605440. Its totient is φ = 9208339200.

The previous prime is 27641142821. The next prime is 27641142923. The reversal of 27641142864 is 46824114672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760269 + ... + 795795.

It is an arithmetic number, because the mean of its divisors is an integer number (992332568).

Almost surely, 2^27641142864 is an apocalyptic number.

27641142864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27641142864 is an abundant number, since it is smaller than the sum of its proper divisors (51745462576).

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

27641142864 is a wasteful number, since it uses less digits than its factorization.

27641142864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37345 (or 37333 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 27641142864 in words is "twenty-seven billion, six hundred forty-one million, one hundred forty-two thousand, eight hundred sixty-four".