644958720 has 640 divisors, whose sum is σ = 2765537280. Its totient is φ = 139345920.

The previous prime is 644958707. The next prime is 644958731. The reversal of 644958720 is 27859446.

It is a happy number.

644958720 is a `hidden beast` number, since 6 + 4 + 49 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14999019 + ... + 14999061.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2^644958720 is an apocalyptic number.

644958720 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 644958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382768640).

644958720 is an abundant number, since it is smaller than the sum of its proper divisors (2120578560).

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

644958720 is a wasteful number, since it uses less digits than its factorization.

644958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 644958720 is about 25396.0374861906. The cubic root of 644958720 is about 863.9938271164.

The spelling of 644958720 in words is "six hundred forty-four million, nine hundred fifty-eight thousand, seven hundred twenty".