66072417600 has 672 divisors, whose sum is σ = 264614777856. Its totient is φ = 14089420800.

The previous prime is 66072417599. The next prime is 66072417623. The reversal of 66072417600 is 671427066.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74826759 + ... + 74827641.

Almost surely, 2^66072417600 is an apocalyptic number.

66072417600 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 66072417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132307388928).

66072417600 is an abundant number, since it is smaller than the sum of its proper divisors (198542360256).

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

66072417600 is a wasteful number, since it uses less digits than its factorization.

66072417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 66072417600 in words is "sixty-six billion, seventy-two million, four hundred seventeen thousand, six hundred".