47872038672 has 120 divisors (see below), whose sum is σ = 138430925568. Its totient is φ = 15427641600.

The previous prime is 47872038647. The next prime is 47872038673. The reversal of 47872038672 is 27683027874.

47872038672 is a `hidden beast` number, since 478 + 7 + 20 + 3 + 86 + 72 = 666.

It is a super-2 number, since 2×47872038672² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47872038673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5187022 + ... + 5196242.

Almost surely, 2^47872038672 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 47872038672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69215462784).

47872038672 is an abundant number, since it is smaller than the sum of its proper divisors (90558886896).

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

47872038672 is a wasteful number, since it uses less digits than its factorization.

47872038672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 47872038672 in words is "forty-seven billion, eight hundred seventy-two million, thirty-eight thousand, six hundred seventy-two".