47901075264 has 336 divisors, whose sum is σ = 163460094720. Its totient is φ = 13121740800.

The previous prime is 47901075263. The next prime is 47901075289. The reversal of 47901075264 is 46257010974.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×47901075264² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47901075263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17654772 + ... + 17657484.

Almost surely, 2^47901075264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47901075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81730047360).

47901075264 is an abundant number, since it is smaller than the sum of its proper divisors (115559019456).

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

47901075264 is a wasteful number, since it uses less digits than its factorization.

47901075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47901075264 in words is "forty-seven billion, nine hundred one million, seventy-five thousand, two hundred sixty-four".