645324312960 has 256 divisors, whose sum is σ = 2288790648000. Its totient is φ = 171840503808.

The previous prime is 645324312911. The next prime is 645324313037. The reversal of 645324312960 is 69213423546.

645324312960 is a `hidden beast` number, since 6 + 4 + 5 + 324 + 31 + 296 + 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12225184 + ... + 12277856.

Almost surely, 2^645324312960 is an apocalyptic number.

645324312960 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 645324312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144395324000).

645324312960 is an abundant number, since it is smaller than the sum of its proper divisors (1643466335040).

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

645324312960 is a wasteful number, since it uses less digits than its factorization.

645324312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53410 (or 53392 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 645324312960 in words is "six hundred forty-five billion, three hundred twenty-four million, three hundred twelve thousand, nine hundred sixty".