27760695840 has 120 divisors (see below), whose sum is σ = 97972168140. Its totient is φ = 7402848768.

The previous prime is 27760695797. The next prime is 27760695899. The reversal of 27760695840 is 4859606772.

27760695840 is a `hidden beast` number, since 27 + 7 + 606 + 9 + 5 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25560335376 + 2200360464 = 159876^2 + 46908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1058055 + ... + 1083974.

Almost surely, 2^27760695840 is an apocalyptic number.

27760695840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27760695840 is an abundant number, since it is smaller than the sum of its proper divisors (70211472300).

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

27760695840 is a wasteful number, since it uses less digits than its factorization.

27760695840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142056 (or 2142039 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 27760695840 in words is "twenty-seven billion, seven hundred sixty million, six hundred ninety-five thousand, eight hundred forty".