66818599584768 has 440 divisors, whose sum is σ = 204621641495040. Its totient is φ = 21707168071680.

The previous prime is 66818599584727. The next prime is 66818599584769. The reversal of 66818599584768 is 86748599581866.

66818599584768 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 8 + 599 + 5 + 8 + 4 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×66818599584768² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66818599584769) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1644178593 + ... + 1644219231.

It is an arithmetic number, because the mean of its divisors is an integer number (465049185216).

Almost surely, 2^{66818599584768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66818599584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102310820747520).

66818599584768 is an abundant number, since it is smaller than the sum of its proper divisors (137803041910272).

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

66818599584768 is a wasteful number, since it uses less digits than its factorization.

66818599584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41175 (or 41148 counting only the distinct ones).

The product of its digits is 50164531200, while the sum is 90.

The spelling of 66818599584768 in words is "sixty-six trillion, eight hundred eighteen billion, five hundred ninety-nine million, five hundred eighty-four thousand, seven hundred sixty-eight".