18879610464000 has 2304 divisors, whose sum is σ = 83876435435520. Its totient is φ = 4120657920000.

The previous prime is 18879610463971. The next prime is 18879610464137. The reversal of 18879610464000 is 46401697881.

18879610464000 is a `hidden beast` number, since 1 + 8 + 87 + 96 + 10 + 464 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5065630137 + ... + 5065633863.

It is an arithmetic number, because the mean of its divisors is an integer number (36404702880).

Almost surely, 2^{18879610464000} is an apocalyptic number.

18879610464000 is a gapful number since it is divisible by the number (10) 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 18879610464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41938217717760).

18879610464000 is an abundant number, since it is smaller than the sum of its proper divisors (64996824971520).

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

18879610464000 is a wasteful number, since it uses less digits than its factorization.

18879610464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18879610464000 in words is "eighteen trillion, eight hundred seventy-nine billion, six hundred ten million, four hundred sixty-four thousand".