66836264616000 has 1792 divisors, whose sum is σ = 276727016816640. Its totient is φ = 15646556160000.

The previous prime is 66836264615999. The next prime is 66836264616059. The reversal of 66836264616000 is 61646263866.

It is a happy number.

66836264616000 is a `hidden beast` number, since 6 + 6 + 8 + 3 + 6 + 26 + 4 + 6 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57967271424 + ... + 57967272576.

Almost surely, 2^{66836264616000} is an apocalyptic number.

66836264616000 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 66836264616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138363508408320).

66836264616000 is an abundant number, since it is smaller than the sum of its proper divisors (209890752200640).

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

66836264616000 is a wasteful number, since it uses less digits than its factorization.

66836264616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 66836264616000 in words is "sixty-six trillion, eight hundred thirty-six billion, two hundred sixty-four million, six hundred sixteen thousand".