66794430600 has 576 divisors, whose sum is σ = 240184002240. Its totient is φ = 17244057600.

The previous prime is 66794430557. The next prime is 66794430607. The reversal of 66794430600 is 603449766.

66794430600 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 4 + 4 + 30 + 600 = 666.

It is a super-2 number, since 2×66794430600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66794430607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237702460 + ... + 237702740.

It is an arithmetic number, because the mean of its divisors is an integer number (416986115).

Almost surely, 2^66794430600 is an apocalyptic number.

66794430600 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 66794430600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120092001120).

66794430600 is an abundant number, since it is smaller than the sum of its proper divisors (173389571640).

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

66794430600 is a wasteful number, since it uses less digits than its factorization.

66794430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 66794430600 in words is "sixty-six billion, seven hundred ninety-four million, four hundred thirty thousand, six hundred".