64960480309824 has 672 divisors, whose sum is σ = 208653277083264. Its totient is φ = 19155803996160.

The previous prime is 64960480309817. The next prime is 64960480309883. The reversal of 64960480309824 is 42890308406946.

64960480309824 is a `hidden beast` number, since 6 + 4 + 9 + 60 + 480 + 3 + 0 + 98 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37056747732 + ... + 37056749484.

Almost surely, 2^{64960480309824} is an apocalyptic number.

64960480309824 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 64960480309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104326638541632).

64960480309824 is an abundant number, since it is smaller than the sum of its proper divisors (143692796773440).

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

64960480309824 is a wasteful number, since it uses less digits than its factorization.

64960480309824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 64960480309824 in words is "sixty-four trillion, nine hundred sixty billion, four hundred eighty million, three hundred nine thousand, eight hundred twenty-four".