27664157888640 has 1280 divisors, whose sum is σ = 122142150789120. Its totient is φ = 5810438209536.

The previous prime is 27664157888629. The next prime is 27664157888777. The reversal of 27664157888640 is 4688875146672.

27664157888640 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 4 + 1 + 578 + 8 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1051975972 + ... + 1052002268.

It is an arithmetic number, because the mean of its divisors is an integer number (95423555304).

Almost surely, 2^{27664157888640} is an apocalyptic number.

27664157888640 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 27664157888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61071075394560).

27664157888640 is an abundant number, since it is smaller than the sum of its proper divisors (94477992900480).

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

27664157888640 is a wasteful number, since it uses less digits than its factorization.

27664157888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26571 (or 26550 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 27664157888640 in words is "twenty-seven trillion, six hundred sixty-four billion, one hundred fifty-seven million, eight hundred eighty-eight thousand, six hundred forty".