66638283264 has 240 divisors, whose sum is σ = 220113983232. Its totient is φ = 19012091904.

The previous prime is 66638283259. The next prime is 66638283293. The reversal of 66638283264 is 46238283666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66638283264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35577432 + ... + 35579304.

Almost surely, 2^66638283264 is an apocalyptic number.

66638283264 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 66638283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110056991616).

66638283264 is an abundant number, since it is smaller than the sum of its proper divisors (153475699968).

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

66638283264 is a wasteful number, since it uses less digits than its factorization.

66638283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2988 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 66638283264 in words is "sixty-six billion, six hundred thirty-eight million, two hundred eighty-three thousand, two hundred sixty-four".