47913612364800 has 2376 divisors, whose sum is σ = 221562310604544. Its totient is φ = 9668448092160.

The previous prime is 47913612364757. The next prime is 47913612364811. The reversal of 47913612364800 is 846321631974.

47913612364800 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 36 + 123 + 6 + 480 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6268949779 + ... + 6268957421.

Almost surely, 2^{47913612364800} is an apocalyptic number.

47913612364800 is a gapful number since it is divisible by the number (40) 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 47913612364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110781155302272).

47913612364800 is an abundant number, since it is smaller than the sum of its proper divisors (173648698239744).

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

47913612364800 is a wasteful number, since it uses less digits than its factorization.

47913612364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7735 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 47913612364800 in words is "forty-seven trillion, nine hundred thirteen billion, six hundred twelve million, three hundred sixty-four thousand, eight hundred".