18772995326400 has 4032 divisors, whose sum is σ = 88047697920000. Its totient is φ = 3917536358400.

The previous prime is 18772995326399. The next prime is 18772995326413. The reversal of 18772995326400 is 462359927781.

18772995326400 is a `hidden beast` number, since 1 + 8 + 7 + 7 + 2 + 99 + 532 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 78548097481 + ... + 78548097719.

It is a 1-persistent number, because it is pandigital, but 2⋅18772995326400 = 37545990652800 is not.

Almost surely, 2^{18772995326400} is an apocalyptic number.

18772995326400 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 18772995326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44023848960000).

18772995326400 is an abundant number, since it is smaller than the sum of its proper divisors (69274702593600).

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

18772995326400 is a wasteful number, since it uses less digits than its factorization.

18772995326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 18772995326400 in words is "eighteen trillion, seven hundred seventy-two billion, nine hundred ninety-five million, three hundred twenty-six thousand, four hundred".