66836689920000 has 8400 divisors, whose sum is σ = 355815788150592. Its totient is φ = 12262440960000.

The previous prime is 66836689919963. The next prime is 66836689920017. The reversal of 66836689920000 is 2998663866.

66836689920000 is a `hidden beast` number, since 6 + 68 + 366 + 8 + 9 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8400).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 66836689920000.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 2905943039989 + ... + 2905943040011.

Almost surely, 2^{66836689920000} is an apocalyptic number.

66836689920000 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 66836689920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177907894075296).

66836689920000 is an abundant number, since it is smaller than the sum of its proper divisors (288979098230592).

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

66836689920000 is a wasteful number, since it uses less digits than its factorization.

66836689920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 66836689920000 in words is "sixty-six trillion, eight hundred thirty-six billion, six hundred eighty-nine million, nine hundred twenty thousand".