66072117048000 has 672 divisors, whose sum is σ = 257002633405440. Its totient is φ = 14911010150400.

The previous prime is 66072117047987. The next prime is 66072117048019. The reversal of 66072117048000 is 84071127066.

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

It is a super-2 number, since 2×66072117048000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 92548407 + ... + 93259593.

Almost surely, 2^{66072117048000} is an apocalyptic number.

66072117048000 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 66072117048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128501316702720).

66072117048000 is an abundant number, since it is smaller than the sum of its proper divisors (190930516357440).

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

66072117048000 is a wasteful number, since it uses less digits than its factorization.

66072117048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711310 (or 711283 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 66072117048000 in words is "sixty-six trillion, seventy-two billion, one hundred seventeen million, forty-eight thousand".