47964994560 has 1056 divisors, whose sum is σ = 203077465920. Its totient is φ = 10701766656.

The previous prime is 47964994537. The next prime is 47964994579. The reversal of 47964994560 is 6549946974.

47964994560 is a `hidden beast` number, since 4 + 7 + 9 + 64 + 9 + 9 + 4 + 560 = 666.

47964994560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 494484432 + ... + 494484528.

Almost surely, 2^47964994560 is an apocalyptic number.

47964994560 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 47964994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101538732960).

47964994560 is an abundant number, since it is smaller than the sum of its proper divisors (155112471360).

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

47964994560 is a wasteful number, since it uses less digits than its factorization.

47964994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 47964994560 in words is "forty-seven billion, nine hundred sixty-four million, nine hundred ninety-four thousand, five hundred sixty".