2007645164 has 12 divisors (see below), whose sum is σ = 4015290384. Its totient is φ = 860419344.

The previous prime is 2007645161. The next prime is 2007645169. The reversal of 2007645164 is 4615467002.

2007645164 is an admirable number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2007645161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35850779 + ... + 35850834.

It is an arithmetic number, because the mean of its divisors is an integer number (334607532).

Almost surely, 2^2007645164 is an apocalyptic number.

It is an amenable number.

2007645164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2007645164 is a wasteful number, since it uses less digits than its factorization.

2007645164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71701624 (or 71701622 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2007645164 is about 44806.7535534544. The cubic root of 2007645164 is about 1261.5243924997.

The spelling of 2007645164 in words is "two billion, seven million, six hundred forty-five thousand, one hundred sixty-four".