18475648826400 has 432 divisors, whose sum is σ = 67157884370304. Its totient is φ = 4776938403840.

The previous prime is 18475648826357. The next prime is 18475648826419. The reversal of 18475648826400 is 462884657481.

It is a happy number.

18475648826400 is a `hidden beast` number, since 1 + 8 + 4 + 7 + 564 + 8 + 8 + 2 + 64 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35953674 + ... + 36463926.

It is an arithmetic number, because the mean of its divisors is an integer number (155458065672).

Almost surely, 2^{18475648826400} is an apocalyptic number.

18475648826400 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 18475648826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33578942185152).

18475648826400 is an abundant number, since it is smaller than the sum of its proper divisors (48682235543904).

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

18475648826400 is a wasteful number, since it uses less digits than its factorization.

18475648826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510433 (or 510417 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 18475648826400 in words is "eighteen trillion, four hundred seventy-five billion, six hundred forty-eight million, eight hundred twenty-six thousand, four hundred".