47632675104 has 192 divisors, whose sum is σ = 158900071680. Its totient is φ = 13598668800.

The previous prime is 47632675091. The next prime is 47632675109. The reversal of 47632675104 is 40157623674.

47632675104 is a `hidden beast` number, since 4 + 7 + 632 + 6 + 7 + 5 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47632675104.

It is not an unprimeable number, because it can be changed into a prime (47632675109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10890262 + ... + 10894634.

It is an arithmetic number, because the mean of its divisors is an integer number (827604540).

Almost surely, 2^47632675104 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 47632675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79450035840).

47632675104 is an abundant number, since it is smaller than the sum of its proper divisors (111267396576).

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

47632675104 is a wasteful number, since it uses less digits than its factorization.

47632675104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6186 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 47632675104 in words is "forty-seven billion, six hundred thirty-two million, six hundred seventy-five thousand, one hundred four".