27640468296 has 256 divisors, whose sum is σ = 89510400000. Its totient is φ = 7740043776.

The previous prime is 27640468277. The next prime is 27640468319. The reversal of 27640468296 is 69286404672.

27640468296 is a `hidden beast` number, since 2 + 76 + 404 + 6 + 82 + 96 = 666.

It is a super-2 number, since 2×27640468296² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 19756605 + ... + 19758003.

It is an arithmetic number, because the mean of its divisors is an integer number (349650000).

Almost surely, 2^27640468296 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 27640468296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44755200000).

27640468296 is an abundant number, since it is smaller than the sum of its proper divisors (61869931704).

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

27640468296 is a wasteful number, since it uses less digits than its factorization.

27640468296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 27640468296 in words is "twenty-seven billion, six hundred forty million, four hundred sixty-eight thousand, two hundred ninety-six".