47615743764900 has 432 divisors, whose sum is σ = 158839271136000. Its totient is φ = 11897077893120.

The previous prime is 47615743764859. The next prime is 47615743764913. The reversal of 47615743764900 is 946734751674.

It is a happy number.

47615743764900 is a `hidden beast` number, since 4 + 7 + 6 + 1 + 5 + 74 + 3 + 76 + 490 + 0 = 666.

It is a super-2 number, since 2×47615743764900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 593620597 + ... + 593700803.

It is an arithmetic number, because the mean of its divisors is an integer number (367683498000).

Almost surely, 2^{47615743764900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47615743764900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79419635568000).

47615743764900 is an abundant number, since it is smaller than the sum of its proper divisors (111223527371100).

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

47615743764900 is a wasteful number, since it uses less digits than its factorization.

47615743764900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80628 (or 80618 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 47615743764900 in words is "forty-seven trillion, six hundred fifteen billion, seven hundred forty-three million, seven hundred sixty-four thousand, nine hundred".