66536064000 has 1056 divisors, whose sum is σ = 282688014336. Its totient is φ = 14730854400.

The previous prime is 66536063987. The next prime is 66536064017. The reversal of 66536064000 is 46063566.

66536064000 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 6 + 0 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×66536064000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298367889 + ... + 298368111.

Almost surely, 2^66536064000 is an apocalyptic number.

66536064000 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 66536064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141344007168).

66536064000 is an abundant number, since it is smaller than the sum of its proper divisors (216151950336).

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

66536064000 is a wasteful number, since it uses less digits than its factorization.

66536064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 66536064000 in words is "sixty-six billion, five hundred thirty-six million, sixty-four thousand".