645760752 has 320 divisors, whose sum is σ = 2239856640. Its totient is φ = 155520000.

The previous prime is 645760727. The next prime is 645760757. The reversal of 645760752 is 257067546.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645760757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2572627 + ... + 2572877.

It is an arithmetic number, because the mean of its divisors is an integer number (6999552).

Almost surely, 2^645760752 is an apocalyptic number.

645760752 is a gapful number since it is divisible by the number (62) 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 645760752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119928320).

645760752 is an abundant number, since it is smaller than the sum of its proper divisors (1594095888).

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

645760752 is a wasteful number, since it uses less digits than its factorization.

645760752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 645760752 is about 25411.8230750964. The cubic root of 645760752 is about 864.3518157424.

The spelling of 645760752 in words is "six hundred forty-five million, seven hundred sixty thousand, seven hundred fifty-two".