632587411260 has 384 divisors, whose sum is σ = 2270960240640. Its totient is φ = 143198834688.

The previous prime is 632587411259. The next prime is 632587411277. The reversal of 632587411260 is 62114785236.

632587411260 is a `hidden beast` number, since 6 + 3 + 2 + 587 + 4 + 1 + 1 + 2 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199994439 + ... + 199997601.

It is an arithmetic number, because the mean of its divisors is an integer number (5913958960).

Almost surely, 2^632587411260 is an apocalyptic number.

632587411260 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 632587411260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135480120320).

632587411260 is an abundant number, since it is smaller than the sum of its proper divisors (1638372829380).

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

632587411260 is a wasteful number, since it uses less digits than its factorization.

632587411260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 632587411260 in words is "six hundred thirty-two billion, five hundred eighty-seven million, four hundred eleven thousand, two hundred sixty".