66048700536000 has 4704 divisors, whose sum is σ = 320998922794368. Its totient is φ = 13312412467200.

The previous prime is 66048700535957. The next prime is 66048700536043. The reversal of 66048700536000 is 63500784066.

66048700536000 is a `hidden beast` number, since 6 + 6 + 0 + 48 + 70 + 0 + 536 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66048700535957) and next prime (66048700536043).

It is a tau number, because it is divible by the number of its divisors (4704).

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 85444631614 + ... + 85444632386.

Almost surely, 2^{66048700536000} is an apocalyptic number.

66048700536000 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 66048700536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160499461397184).

66048700536000 is an abundant number, since it is smaller than the sum of its proper divisors (254950222258368).

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

66048700536000 is a wasteful number, since it uses less digits than its factorization.

66048700536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66048700536000 in words is "sixty-six trillion, forty-eight billion, seven hundred million, five hundred thirty-six thousand".