64502442972960 has 192 divisors, whose sum is σ = 207518616797184. Its totient is φ = 16833634790400.

The previous prime is 64502442972911. The next prime is 64502442972971. The reversal of 64502442972960 is 6927924420546.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 64502442972894 and 64502442972903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403992345 + ... + 404151975.

It is an arithmetic number, because the mean of its divisors is an integer number (1080826129152).

Almost surely, 2^{64502442972960} is an apocalyptic number.

64502442972960 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 64502442972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103759308398592).

64502442972960 is an abundant number, since it is smaller than the sum of its proper divisors (143016173824224).

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

64502442972960 is a wasteful number, since it uses less digits than its factorization.

64502442972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177607 (or 177599 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 64502442972960 in words is "sixty-four trillion, five hundred two billion, four hundred forty-two million, nine hundred seventy-two thousand, nine hundred sixty".