47639672640 has 896 divisors, whose sum is σ = 201070464000. Its totient is φ = 10391224320.

The previous prime is 47639672617. The next prime is 47639672683. The reversal of 47639672640 is 4627693674.

47639672640 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 (54).

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, 136503186 + ... + 136503534.

It is an arithmetic number, because the mean of its divisors is an integer number (224409000).

Almost surely, 2^47639672640 is an apocalyptic number.

47639672640 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 47639672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100535232000).

47639672640 is an abundant number, since it is smaller than the sum of its proper divisors (153430791360).

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

47639672640 is a wasteful number, since it uses less digits than its factorization.

47639672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 47639672640 in words is "forty-seven billion, six hundred thirty-nine million, six hundred seventy-two thousand, six hundred forty".