630500640 has 288 divisors, whose sum is σ = 2521399104. Its totient is φ = 130959360.

The previous prime is 630500623. The next prime is 630500657. The reversal of 630500640 is 46005036.

It is an interprime number because it is at equal distance from previous prime (630500623) and next prime (630500657).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 630500640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257502 + ... + 259938.

It is an arithmetic number, because the mean of its divisors is an integer number (8754858).

Almost surely, 2^630500640 is an apocalyptic number.

630500640 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 630500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260699552).

630500640 is an abundant number, since it is smaller than the sum of its proper divisors (1890898464).

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

630500640 is a wasteful number, since it uses less digits than its factorization.

630500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 630500640 is about 25109.7718030252. The cubic root of 630500640 is about 857.4889072562.

Adding to 630500640 its reverse (46005036), we get a palindrome (676505676).

The spelling of 630500640 in words is "six hundred thirty million, five hundred thousand, six hundred forty".