18798329642400 has 4608 divisors, whose sum is σ = 91654933708800. Its totient is φ = 3605575680000.

The previous prime is 18798329642371. The next prime is 18798329642413. The reversal of 18798329642400 is 424692389781.

18798329642400 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 8 + 329 + 64 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 135239781531 + ... + 135239781669.

It is an arithmetic number, because the mean of its divisors is an integer number (19890393600).

Almost surely, 2^{18798329642400} is an apocalyptic number.

18798329642400 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 18798329642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45827466854400).

18798329642400 is an abundant number, since it is smaller than the sum of its proper divisors (72856604066400).

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

18798329642400 is a wasteful number, since it uses less digits than its factorization.

18798329642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 18798329642400 in words is "eighteen trillion, seven hundred ninety-eight billion, three hundred twenty-nine million, six hundred forty-two thousand, four hundred".