27316592640 has 168 divisors, whose sum is σ = 94693019148. Its totient is φ = 7284326400.

The previous prime is 27316592621. The next prime is 27316592663. The reversal of 27316592640 is 4629561372.

27316592640 is a `hidden beast` number, since 2 + 7 + 3 + 16 + 592 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27074727936 + 241864704 = 164544^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331590 + ... + 405690.

Almost surely, 2^27316592640 is an apocalyptic number.

27316592640 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 27316592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47346509574).

27316592640 is an abundant number, since it is smaller than the sum of its proper divisors (67376426508).

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

27316592640 is an equidigital number, since it uses as much as digits as its factorization.

27316592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74138 (or 74111 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 27316592640 in words is "twenty-seven billion, three hundred sixteen million, five hundred ninety-two thousand, six hundred forty".