47764102500 has 405 divisors, whose sum is σ = 159284396271. Its totient is φ = 12063960000.

The previous prime is 47764102447. The next prime is 47764102511. The reversal of 47764102500 is 520146774.

The square root of 47764102500 is 218550.

It is a perfect power (a square), and thus also a powerful number.

47764102500 is a `hidden beast` number, since 4 + 7 + 7 + 641 + 0 + 2 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3744705636 + 44019396864 = 61194^2 + 209808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1016257477 + ... + 1016257523.

Almost surely, 2^47764102500 is an apocalyptic number.

47764102500 is the 218550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47764102500

47764102500 is an abundant number, since it is smaller than the sum of its proper divisors (111520293771).

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

47764102500 is a wasteful number, since it uses less digits than its factorization.

47764102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Multiplying 47764102500 by its sum of digits (36), we get a square (1719507690000 = 1311300²).

47764102500 divided by its sum of digits (36) gives a square (1326780625 = 36425²).

The spelling of 47764102500 in words is "forty-seven billion, seven hundred sixty-four million, one hundred two thousand, five hundred".