645056160 has 384 divisors, whose sum is σ = 2570932224. Its totient is φ = 132464640.

The previous prime is 645056149. The next prime is 645056197. The reversal of 645056160 is 61650546.

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 63 ways as a sum of consecutive naturals, for example, 1313515 + ... + 1314005.

It is an arithmetic number, because the mean of its divisors is an integer number (6695136).

Almost surely, 2^645056160 is an apocalyptic number.

645056160 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 645056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285466112).

645056160 is an abundant number, since it is smaller than the sum of its proper divisors (1925876064).

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

645056160 is a wasteful number, since it uses less digits than its factorization.

645056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 645056160 is about 25397.9558232548. The cubic root of 645056160 is about 864.0373354922.

The spelling of 645056160 in words is "six hundred forty-five million, fifty-six thousand, one hundred sixty".