4632991164 has 72 divisors (see below), whose sum is σ = 12827702160. Its totient is φ = 1403361792.

The previous prime is 4632991159. The next prime is 4632991189. The reversal of 4632991164 is 4611992364.

4632991164 is a `hidden beast` number, since 4 + 632 + 9 + 9 + 1 + 1 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112774 + ... + 148269.

It is an arithmetic number, because the mean of its divisors is an integer number (178162530).

Almost surely, 2^4632991164 is an apocalyptic number.

It is an amenable number.

4632991164 is an abundant number, since it is smaller than the sum of its proper divisors (8194710996).

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

4632991164 is a wasteful number, since it uses less digits than its factorization.

4632991164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261099 (or 261094 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4632991164 is about 68066.0793934835. The cubic root of 4632991164 is about 1667.0699531992.

The spelling of 4632991164 in words is "four billion, six hundred thirty-two million, nine hundred ninety-one thousand, one hundred sixty-four".