66715596864000 has 3200 divisors, whose sum is σ = 291190852592640. Its totient is φ = 14870200320000.

The previous prime is 66715596863987. The next prime is 66715596864019. The reversal of 66715596864000 is 46869551766.

66715596864000 is a `hidden beast` number, since 6 + 6 + 71 + 559 + 6 + 8 + 6 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 399494591917 + ... + 399494592083.

Almost surely, 2^{66715596864000} is an apocalyptic number.

66715596864000 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 66715596864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145595426296320).

66715596864000 is an abundant number, since it is smaller than the sum of its proper divisors (224475255728640).

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

66715596864000 is a wasteful number, since it uses less digits than its factorization.

66715596864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 66715596864000 in words is "sixty-six trillion, seven hundred fifteen billion, five hundred ninety-six million, eight hundred sixty-four thousand".