4640686164 has 36 divisors (see below), whose sum is σ = 11780990676. Its totient is φ = 1540253568.

The previous prime is 4640686157. The next prime is 4640686181. The reversal of 4640686164 is 4616860464.

4640686164 is a `hidden beast` number, since 4 + 6 + 406 + 86 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1773083664 + 2867602500 = 42108^2 + 53550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268239 + ... + 285014.

It is an arithmetic number, because the mean of its divisors is an integer number (327249741).

Almost surely, 2^4640686164 is an apocalyptic number.

It is an amenable number.

4640686164 is an abundant number, since it is smaller than the sum of its proper divisors (7140304512).

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

4640686164 is a wasteful number, since it uses less digits than its factorization.

4640686164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553496 (or 553491 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4640686164 is about 68122.5818946992. The cubic root of 4640686164 is about 1667.9923959766.

The spelling of 4640686164 in words is "four billion, six hundred forty million, six hundred eighty-six thousand, one hundred sixty-four".