47634912864 has 672 divisors, whose sum is σ = 183083410944. Its totient is φ = 11824496640.

The previous prime is 47634912823. The next prime is 47634912877. The reversal of 47634912864 is 46821943674.

47634912864 is a `hidden beast` number, since 4 + 76 + 3 + 491 + 2 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 47634912864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41313312 + ... + 41314464.

It is an arithmetic number, because the mean of its divisors is an integer number (272445552).

Almost surely, 2^47634912864 is an apocalyptic number.

47634912864 is a gapful number since it is divisible by the number (44) 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 47634912864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91541705472).

47634912864 is an abundant number, since it is smaller than the sum of its proper divisors (135448498080).

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

47634912864 is a wasteful number, since it uses less digits than its factorization.

47634912864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1199 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 47634912864 in words is "forty-seven billion, six hundred thirty-four million, nine hundred twelve thousand, eight hundred sixty-four".