66848436864 has 512 divisors, whose sum is σ = 230886547200. Its totient is φ = 19050577920.

The previous prime is 66848436857. The next prime is 66848436887. The reversal of 66848436864 is 46863484866.

66848436864 is a `hidden beast` number, since 6 + 68 + 484 + 36 + 8 + 64 = 666.

It is a super-2 number, since 2×66848436864² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52347394 + ... + 52348670.

Almost surely, 2^66848436864 is an apocalyptic number.

66848436864 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 66848436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115443273600).

66848436864 is an abundant number, since it is smaller than the sum of its proper divisors (164038110336).

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

66848436864 is a wasteful number, since it uses less digits than its factorization.

66848436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1310 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 66848436864 in words is "sixty-six billion, eight hundred forty-eight million, four hundred thirty-six thousand, eight hundred sixty-four".