4904107632 has 160 divisors (see below), whose sum is σ = 14862144000. Its totient is φ = 1544002560.

The previous prime is 4904107619. The next prime is 4904107711. The reversal of 4904107632 is 2367014094.

4904107632 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 10 + 7 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3602632 + ... + 3603992.

It is an arithmetic number, because the mean of its divisors is an integer number (92888400).

Almost surely, 2^4904107632 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 4904107632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431072000).

4904107632 is an abundant number, since it is smaller than the sum of its proper divisors (9958036368).

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

4904107632 is a wasteful number, since it uses less digits than its factorization.

4904107632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4904107632 is about 70029.3340822259. The cubic root of 4904107632 is about 1698.9737325991.

The spelling of 4904107632 in words is "four billion, nine hundred four million, one hundred seven thousand, six hundred thirty-two".