66579648408 has 320 divisors, whose sum is σ = 234412738560. Its totient is φ = 17185146624.

The previous prime is 66579648379. The next prime is 66579648439. The reversal of 66579648408 is 80484697566.

66579648408 is a `hidden beast` number, since 6 + 65 + 7 + 96 + 484 + 0 + 8 = 666.

66579648408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2759485 + ... + 2783507.

It is an arithmetic number, because the mean of its divisors is an integer number (732539808).

Almost surely, 2^66579648408 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 66579648408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117206369280).

66579648408 is an abundant number, since it is smaller than the sum of its proper divisors (167833090152).

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

66579648408 is a wasteful number, since it uses less digits than its factorization.

66579648408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24108 (or 24095 counting only the distinct ones).

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

The spelling of 66579648408 in words is "sixty-six billion, five hundred seventy-nine million, six hundred forty-eight thousand, four hundred eight".