66294636408 has 512 divisors, whose sum is σ = 258022195200. Its totient is φ = 15202598400.

The previous prime is 66294636407. The next prime is 66294636461. The reversal of 66294636408 is 80463649266.

66294636408 is a `hidden beast` number, since 6 + 629 + 4 + 6 + 3 + 6 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66294636407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4966303 + ... + 4979633.

It is an arithmetic number, because the mean of its divisors is an integer number (503949600).

Almost surely, 2^66294636408 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 66294636408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129011097600).

66294636408 is an abundant number, since it is smaller than the sum of its proper divisors (191727558792).

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

66294636408 is a wasteful number, since it uses less digits than its factorization.

66294636408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13400 (or 13390 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 66294636408 in words is "sixty-six billion, two hundred ninety-four million, six hundred thirty-six thousand, four hundred eight".