27664527974400 has 420 divisors, whose sum is σ = 102482343759312. Its totient is φ = 7377203036160.

The previous prime is 27664527974389. The next prime is 27664527974441. The reversal of 27664527974400 is 447972546672.

27664527974400 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 452 + 79 + 74 + 40 + 0 = 666.

It is a super-2 number, since 2×27664527974400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15754969 + ... + 17422631.

Almost surely, 2^{27664527974400} is an apocalyptic number.

27664527974400 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 27664527974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51241171879656).

27664527974400 is an abundant number, since it is smaller than the sum of its proper divisors (74817815784912).

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

27664527974400 is an equidigital number, since it uses as much as digits as its factorization.

27664527974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667711 (or 1667673 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 27664527974400 in words is "twenty-seven trillion, six hundred sixty-four billion, five hundred twenty-seven million, nine hundred seventy-four thousand, four hundred".