27491940864 has 640 divisors, whose sum is σ = 93336883200. Its totient is φ = 7936081920.

The previous prime is 27491940857. The next prime is 27491940877. The reversal of 27491940864 is 46804919472.

27491940864 is a `hidden beast` number, since 2 + 7 + 491 + 94 + 0 + 8 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27491940864.

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, 209862079 + ... + 209862209.

It is an arithmetic number, because the mean of its divisors is an integer number (145838880).

Almost surely, 2^27491940864 is an apocalyptic number.

27491940864 is a gapful number since it is divisible by the number (24) 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 27491940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46668441600).

27491940864 is an abundant number, since it is smaller than the sum of its proper divisors (65844942336).

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

27491940864 is a wasteful number, since it uses less digits than its factorization.

27491940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

It can be divided in two parts, 274919408 and 64, that added together give a palindrome (274919472).

The spelling of 27491940864 in words is "twenty-seven billion, four hundred ninety-one million, nine hundred forty thousand, eight hundred sixty-four".