66153600400 has 30 divisors (see below), whose sum is σ = 158934025922. Its totient is φ = 26461440000.

The previous prime is 66153600391. The next prime is 66153600407. The reversal of 66153600400 is 400635166.

It can be written as a sum of positive squares in 3 ways, for example, as 803835904 + 65349764496 = 28352^2 + 255636^2 .

It is not an unprimeable number, because it can be changed into a prime (66153600407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82691601 + ... + 82692400.

Almost surely, 2^66153600400 is an apocalyptic number.

It is an amenable number.

66153600400 is an abundant number, since it is smaller than the sum of its proper divisors (92780425522).

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

66153600400 is a wasteful number, since it uses less digits than its factorization.

66153600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165384019 (or 165384008 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 66153600400 in words is "sixty-six billion, one hundred fifty-three million, six hundred thousand, four hundred".