66093600456 has 160 divisors (see below), whose sum is σ = 199943667000. Its totient is φ = 20277319680.

The previous prime is 66093600449. The next prime is 66093600457. The reversal of 66093600456 is 65400639066.

66093600456 is a `hidden beast` number, since 6 + 609 + 36 + 0 + 0 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34741232100 + 31352368356 = 186390^2 + 177066^2 .

It is not an unprimeable number, because it can be changed into a prime (66093600457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2928736 + ... + 2951216.

Almost surely, 2^66093600456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66093600456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99971833500).

66093600456 is an abundant number, since it is smaller than the sum of its proper divisors (133850066544).

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

66093600456 is a wasteful number, since it uses less digits than its factorization.

66093600456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22861 (or 22848 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 66093600456 in words is "sixty-six billion, ninety-three million, six hundred thousand, four hundred fifty-six".