66712599360 has 672 divisors, whose sum is σ = 265750243200. Its totient is φ = 15190917120.

The previous prime is 66712599337. The next prime is 66712599361. The reversal of 66712599360 is 6399521766.

66712599360 is a `hidden beast` number, since 6 + 6 + 7 + 12 + 599 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66712599297 and 66712599306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66712599361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82462636 + ... + 82463444.

Almost surely, 2^66712599360 is an apocalyptic number.

66712599360 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 66712599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132875121600).

66712599360 is an abundant number, since it is smaller than the sum of its proper divisors (199037643840).

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

66712599360 is a wasteful number, since it uses less digits than its factorization.

66712599360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 66712599360 in words is "sixty-six billion, seven hundred twelve million, five hundred ninety-nine thousand, three hundred sixty".