27664460895904 has 192 divisors, whose sum is σ = 67490623291392. Its totient is φ = 10902190464000.

The previous prime is 27664460895887. The next prime is 27664460895923. The reversal of 27664460895904 is 40959806446672.

It is a super-2 number, since 2×27664460895904² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23542954 + ... + 24690070.

It is an arithmetic number, because the mean of its divisors is an integer number (351513662976).

Almost surely, 2^{27664460895904} 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 27664460895904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33745311645696).

27664460895904 is an abundant number, since it is smaller than the sum of its proper divisors (39826162395488).

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

27664460895904 is a wasteful number, since it uses less digits than its factorization.

27664460895904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147339 (or 1147331 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 70.

The spelling of 27664460895904 in words is "twenty-seven trillion, six hundred sixty-four billion, four hundred sixty million, eight hundred ninety-five thousand, nine hundred four".