66852792864 has 864 divisors, whose sum is σ = 240858334080. Its totient is φ = 17396121600.

The previous prime is 66852792833. The next prime is 66852792913. The reversal of 66852792864 is 46829725866.

66852792864 is a `hidden beast` number, since 6 + 6 + 85 + 279 + 286 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 751154932 + ... + 751155020.

It is an arithmetic number, because the mean of its divisors is an integer number (278771220).

Almost surely, 2^66852792864 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 66852792864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120429167040).

66852792864 is an abundant number, since it is smaller than the sum of its proper divisors (174005541216).

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

66852792864 is a wasteful number, since it uses less digits than its factorization.

66852792864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 66852792864 in words is "sixty-six billion, eight hundred fifty-two million, seven hundred ninety-two thousand, eight hundred sixty-four".