66322548864 has 384 divisors, whose sum is σ = 225031322880. Its totient is φ = 18484346880.

The previous prime is 66322548857. The next prime is 66322548871. The reversal of 66322548864 is 46884522366.

It is a happy number.

66322548864 is a `hidden beast` number, since 6 + 6 + 32 + 2 + 548 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (66322548857) and next prime (66322548871).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 66322548864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60457564 + ... + 60458660.

It is an arithmetic number, because the mean of its divisors is an integer number (586019070).

Almost surely, 2^66322548864 is an apocalyptic number.

66322548864 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 66322548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112515661440).

66322548864 is an abundant number, since it is smaller than the sum of its proper divisors (158708774016).

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

66322548864 is a wasteful number, since it uses less digits than its factorization.

66322548864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1493 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 66322548864 in words is "sixty-six billion, three hundred twenty-two million, five hundred forty-eight thousand, eight hundred sixty-four".