66883597747200 has 3168 divisors, whose sum is σ = 280728082252800. Its totient is φ = 15086518272000.

The previous prime is 66883597747189. The next prime is 66883597747237. The reversal of 66883597747200 is 274779538866.

66883597747200 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 3 + 597 + 7 + 4 + 7 + 20 + 0 = 666.

66883597747200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158868402990 + ... + 158868403410.

Almost surely, 2^{66883597747200} is an apocalyptic number.

66883597747200 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 66883597747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140364041126400).

66883597747200 is an abundant number, since it is smaller than the sum of its proper divisors (213844484505600).

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

66883597747200 is a wasteful number, since it uses less digits than its factorization.

66883597747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 66883597747200 in words is "sixty-six trillion, eight hundred eighty-three billion, five hundred ninety-seven million, seven hundred forty-seven thousand, two hundred".