64335720960 has 800 divisors, whose sum is σ = 266182963200. Its totient is φ = 14547714048.

The previous prime is 64335720929. The next prime is 64335721033. The reversal of 64335720960 is 6902753346.

64335720960 is a `hidden beast` number, since 6 + 433 + 5 + 7 + 209 + 6 + 0 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 184342866 + ... + 184343214.

It is an arithmetic number, because the mean of its divisors is an integer number (332728704).

Almost surely, 2^64335720960 is an apocalyptic number.

64335720960 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 64335720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133091481600).

64335720960 is an abundant number, since it is smaller than the sum of its proper divisors (201847242240).

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

64335720960 is a wasteful number, since it uses less digits than its factorization.

64335720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 64335720960 in words is "sixty-four billion, three hundred thirty-five million, seven hundred twenty thousand, nine hundred sixty".