66870044688384 has 768 divisors, whose sum is σ = 229497865833600. Its totient is φ = 19060101218304.

The previous prime is 66870044688341. The next prime is 66870044688431. The reversal of 66870044688384 is 48388644007866.

66870044688384 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 0 + 0 + 4 + 468 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28370828134 + ... + 28370830490.

Almost surely, 2^{66870044688384} is an apocalyptic number.

66870044688384 is a gapful number since it is divisible by the number (64) 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 66870044688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114748932916800).

66870044688384 is an abundant number, since it is smaller than the sum of its proper divisors (162627821145216).

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

66870044688384 is an frugal number, since it uses more digits than its factorization.

66870044688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1189085184, while the sum is 72.

The spelling of 66870044688384 in words is "sixty-six trillion, eight hundred seventy billion, forty-four million, six hundred eighty-eight thousand, three hundred eighty-four".