1640201772564 has 18 divisors (see below), whose sum is σ = 4146065591850. Its totient is φ = 546733924176.

The previous prime is 1640201772529. The next prime is 1640201772613. The reversal of 1640201772564 is 4652771020461.

1640201772564 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 2 + 0 + 17 + 72 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1497544482564 + 142657290000 = 1223742^2 + 377700^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22780580139 + ... + 22780580210.

It is an arithmetic number, because the mean of its divisors is an integer number (230336977325).

Almost surely, 2^{1640201772564} is an apocalyptic number.

It is an amenable number.

1640201772564 is an abundant number, since it is smaller than the sum of its proper divisors (2505863819286).

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

1640201772564 is a wasteful number, since it uses less digits than its factorization.

1640201772564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45561160359 (or 45561160354 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1640201772564 in words is "one trillion, six hundred forty billion, two hundred one million, seven hundred seventy-two thousand, five hundred sixty-four".