632457853440 has 320 divisors, whose sum is σ = 2385275904000. Its totient is φ = 139898142720.

The previous prime is 632457853411. The next prime is 632457853441. The reversal of 632457853440 is 44358754236.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (632457853441) 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, 1476811 + ... + 1856309.

It is an arithmetic number, because the mean of its divisors is an integer number (7453987200).

Almost surely, 2^632457853440 is an apocalyptic number.

632457853440 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 632457853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192637952000).

632457853440 is an abundant number, since it is smaller than the sum of its proper divisors (1752818050560).

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

632457853440 is a wasteful number, since it uses less digits than its factorization.

632457853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379563 (or 379547 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

The spelling of 632457853440 in words is "six hundred thirty-two billion, four hundred fifty-seven million, eight hundred fifty-three thousand, four hundred forty".