66712990608000 has 4608 divisors, whose sum is σ = 297909874080000. Its totient is φ = 14694027264000.

The previous prime is 66712990607993. The next prime is 66712990608013. The reversal of 66712990608000 is 80609921766.

66712990608000 is a `hidden beast` number, since 6 + 6 + 7 + 1 + 29 + 9 + 0 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 447738191926 + ... + 447738192074.

Almost surely, 2^{66712990608000} is an apocalyptic number.

66712990608000 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 66712990608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148954937040000).

66712990608000 is an abundant number, since it is smaller than the sum of its proper divisors (231196883472000).

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

66712990608000 is a wasteful number, since it uses less digits than its factorization.

66712990608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 66712990608000 in words is "sixty-six trillion, seven hundred twelve billion, nine hundred ninety million, six hundred eight thousand".