64303384320 has 864 divisors, whose sum is σ = 271825182720. Its totient is φ = 13717831680.

The previous prime is 64303384261. The next prime is 64303384339. The reversal of 64303384320 is 2348330346.

64303384320 is a `hidden beast` number, since 643 + 0 + 3 + 3 + 8 + 4 + 3 + 2 + 0 = 666.

64303384320 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 (36).

It is a congruent number.

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, 72494917 + ... + 72495803.

It is an arithmetic number, because the mean of its divisors is an integer number (314612480).

Almost surely, 2^64303384320 is an apocalyptic number.

64303384320 is a gapful number since it is divisible by the number (60) 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 64303384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135912591360).

64303384320 is an abundant number, since it is smaller than the sum of its proper divisors (207521798400).

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

64303384320 is a wasteful number, since it uses less digits than its factorization.

64303384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 64303384320 in words is "sixty-four billion, three hundred three million, three hundred eighty-four thousand, three hundred twenty".