64308705408 has 576 divisors, whose sum is σ = 211444653600. Its totient is φ = 19233054720.

The previous prime is 64308705353. The next prime is 64308705421. The reversal of 64308705408 is 80450780346.

64308705408 is a `hidden beast` number, since 6 + 4 + 30 + 8 + 70 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 959831391 + ... + 959831457.

Almost surely, 2^64308705408 is an apocalyptic number.

64308705408 is a gapful number since it is divisible by the number (68) 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 64308705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105722326800).

64308705408 is an abundant number, since it is smaller than the sum of its proper divisors (147135948192).

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

64308705408 is a wasteful number, since it uses less digits than its factorization.

64308705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 64308705408 in words is "sixty-four billion, three hundred eight million, seven hundred five thousand, four hundred eight".