632319244288 has 384 divisors, whose sum is σ = 1468798531200. Its totient is φ = 270318698496.

The previous prime is 632319244261. The next prime is 632319244289. The reversal of 632319244288 is 882442913236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632319244289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1695225670 + ... + 1695226042.

It is an arithmetic number, because the mean of its divisors is an integer number (3824996175).

Almost surely, 2^632319244288 is an apocalyptic number.

632319244288 is a gapful number since it is divisible by the number (68) 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 632319244288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734399265600).

632319244288 is an abundant number, since it is smaller than the sum of its proper divisors (836479286912).

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

632319244288 is a wasteful number, since it uses less digits than its factorization.

632319244288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 52.

The spelling of 632319244288 in words is "six hundred thirty-two billion, three hundred nineteen million, two hundred forty-four thousand, two hundred eighty-eight".