47031624640 has 896 divisors, whose sum is σ = 160009758720. Its totient is φ = 12695961600.

The previous prime is 47031624637. The next prime is 47031624671. The reversal of 47031624640 is 4642613074.

47031624640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47031624640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 566646039 + ... + 566646121.

It is an arithmetic number, because the mean of its divisors is an integer number (178582320).

Almost surely, 2^47031624640 is an apocalyptic number.

47031624640 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 47031624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80004879360).

47031624640 is an abundant number, since it is smaller than the sum of its proper divisors (112978134080).

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

47031624640 is a wasteful number, since it uses less digits than its factorization.

47031624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 47031624640 in words is "forty-seven billion, thirty-one million, six hundred twenty-four thousand, six hundred forty".