18374876064 has 288 divisors, whose sum is σ = 56180189520. Its totient is φ = 5685313536.

The previous prime is 18374876033. The next prime is 18374876089. The reversal of 18374876064 is 46067847381.

18374876064 is a `hidden beast` number, since 18 + 37 + 487 + 60 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6473811600 + 11901064464 = 80460^2 + 109092^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 18374876064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29975022 + ... + 29975634.

Almost surely, 2^18374876064 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 18374876064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28090094760).

18374876064 is an abundant number, since it is smaller than the sum of its proper divisors (37805313456).

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

18374876064 is a wasteful number, since it uses less digits than its factorization.

18374876064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 18374876064 in words is "eighteen billion, three hundred seventy-four million, eight hundred seventy-six thousand, sixty-four".