66512793600000 has 2112 divisors, whose sum is σ = 272074690245960. Its totient is φ = 16124313600000.

The previous prime is 66512793599977. The next prime is 66512793600067. The reversal of 66512793600000 is 639721566.

66512793600000 is a `hidden beast` number, since 6 + 6 + 512 + 79 + 3 + 60 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-4 number, since 4×66512793600000⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 6046617599995 + ... + 6046617600005.

Almost surely, 2^{66512793600000} is an apocalyptic number.

66512793600000 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 66512793600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136037345122980).

66512793600000 is an abundant number, since it is smaller than the sum of its proper divisors (205561896645960).

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

66512793600000 is an frugal number, since it uses more digits than its factorization.

66512793600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 66512793600000 in words is "sixty-six trillion, five hundred twelve billion, seven hundred ninety-three million, six hundred thousand".