64989112320 has 960 divisors, whose sum is σ = 269707838400. Its totient is φ = 14792785920.

The previous prime is 64989112291. The next prime is 64989112339. The reversal of 64989112320 is 2321198946.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155105071 + ... + 155105489.

It is an arithmetic number, because the mean of its divisors is an integer number (280945665).

Almost surely, 2^64989112320 is an apocalyptic number.

64989112320 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 64989112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134853919200).

64989112320 is an abundant number, since it is smaller than the sum of its proper divisors (204718726080).

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

64989112320 is a wasteful number, since it uses less digits than its factorization.

64989112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 64989112320 in words is "sixty-four billion, nine hundred eighty-nine million, one hundred twelve thousand, three hundred twenty".