27938453297664 has 640 divisors, whose sum is σ = 95688243560448. Its totient is φ = 7040684851200.

The previous prime is 27938453297659. The next prime is 27938453297669. The reversal of 27938453297664 is 46679235483972.

It is an interprime number because it is at equal distance from previous prime (27938453297659) and next prime (27938453297669).

It is not an unprimeable number, because it can be changed into a prime (27938453297669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3513824889 + ... + 3513832839.

Almost surely, 2^{27938453297664} is an apocalyptic number.

27938453297664 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 27938453297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47844121780224).

27938453297664 is an abundant number, since it is smaller than the sum of its proper divisors (67749790262784).

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

27938453297664 is a wasteful number, since it uses less digits than its factorization.

27938453297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108 (or 9092 counting only the distinct ones).

The product of its digits is 3292047360, while the sum is 75.

The spelling of 27938453297664 in words is "twenty-seven trillion, nine hundred thirty-eight billion, four hundred fifty-three million, two hundred ninety-seven thousand, six hundred sixty-four".