64960600320 has 1440 divisors, whose sum is σ = 296313937920. Its totient is φ = 13198049280.

The previous prime is 64960600319. The next prime is 64960600349. The reversal of 64960600320 is 2300606946.

64960600320 is a `hidden beast` number, since 6 + 49 + 6 + 0 + 600 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 630685389 + ... + 630685491.

It is an arithmetic number, because the mean of its divisors is an integer number (205773568).

Almost surely, 2^64960600320 is an apocalyptic number.

64960600320 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 64960600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148156968960).

64960600320 is an abundant number, since it is smaller than the sum of its proper divisors (231353337600).

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

64960600320 is a wasteful number, since it uses less digits than its factorization.

64960600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 64960600320 in words is "sixty-four billion, nine hundred sixty million, six hundred thousand, three hundred twenty".