632142127104 has 224 divisors, whose sum is σ = 1708361571840. Its totient is φ = 207888187392.

The previous prime is 632142127087. The next prime is 632142127139. The reversal of 632142127104 is 401721241236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983113407 + ... + 983114049.

It is an arithmetic number, because the mean of its divisors is an integer number (7626614160).

Almost surely, 2^632142127104 is an apocalyptic number.

632142127104 is a gapful number since it is divisible by the number (64) 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 632142127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854180785920).

632142127104 is an abundant number, since it is smaller than the sum of its proper divisors (1076219444736).

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

632142127104 is a wasteful number, since it uses less digits than its factorization.

632142127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 632142127104 in words is "six hundred thirty-two billion, one hundred forty-two million, one hundred twenty-seven thousand, one hundred four".