66239579298816 has 2112 divisors, whose sum is σ = 255723926814720. Its totient is φ = 16625242275840.

The previous prime is 66239579298787. The next prime is 66239579298859. The reversal of 66239579298816 is 61889297593266.

66239579298816 is a `hidden beast` number, since 6 + 6 + 2 + 3 + 9 + 579 + 29 + 8 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158089687855 + ... + 158089688273.

Almost surely, 2^{66239579298816} is an apocalyptic number.

66239579298816 is a gapful number since it is divisible by the number (66) 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 66239579298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127861963407360).

66239579298816 is an abundant number, since it is smaller than the sum of its proper divisors (189484347515904).

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

66239579298816 is a wasteful number, since it uses less digits than its factorization.

66239579298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 702 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 81.

The spelling of 66239579298816 in words is "sixty-six trillion, two hundred thirty-nine billion, five hundred seventy-nine million, two hundred ninety-eight thousand, eight hundred sixteen".