66794925600 has 1296 divisors, whose sum is σ = 283048758720. Its totient is φ = 14689382400.

The previous prime is 66794925541. The next prime is 66794925601. The reversal of 66794925600 is 652949766.

66794925600 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 4 + 9 + 25 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (66794925601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 940773565 + ... + 940773635.

It is an arithmetic number, because the mean of its divisors is an integer number (218401820).

Almost surely, 2^66794925600 is an apocalyptic number.

66794925600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66794925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141524379360).

66794925600 is an abundant number, since it is smaller than the sum of its proper divisors (216253833120).

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

66794925600 is a wasteful number, since it uses less digits than its factorization.

66794925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 66794925600 in words is "sixty-six billion, seven hundred ninety-four million, nine hundred twenty-five thousand, six hundred".