66643460496000 has 1536 divisors, whose sum is σ = 257193960791040. Its totient is φ = 16508067840000.

The previous prime is 66643460495993. The next prime is 66643460496007. The reversal of 66643460496000 is 69406434666.

It is an interprime number because it is at equal distance from previous prime (66643460495993) and next prime (66643460496007).

It is not an unprimeable number, because it can be changed into a prime (66643460496007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10267052755 + ... + 10267059245.

It is an arithmetic number, because the mean of its divisors is an integer number (167443984890).

Almost surely, 2^{66643460496000} is an apocalyptic number.

66643460496000 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 66643460496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128596980395520).

66643460496000 is an abundant number, since it is smaller than the sum of its proper divisors (190550500295040).

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

66643460496000 is a wasteful number, since it uses less digits than its factorization.

66643460496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6651 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 66643460496000 in words is "sixty-six trillion, six hundred forty-three billion, four hundred sixty million, four hundred ninety-six thousand".