632081712240 has 480 divisors, whose sum is σ = 2418680908800. Its totient is φ = 146559559680.

The previous prime is 632081712239. The next prime is 632081712257. The reversal of 632081712240 is 42217180236.

It is a happy number.

632081712240 is a `hidden beast` number, since 6 + 320 + 81 + 7 + 12 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 632081712195 and 632081712204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17271081 + ... + 17307639.

It is an arithmetic number, because the mean of its divisors is an integer number (5038918560).

Almost surely, 2^632081712240 is an apocalyptic number.

632081712240 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 632081712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209340454400).

632081712240 is an abundant number, since it is smaller than the sum of its proper divisors (1786599196560).

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

632081712240 is a wasteful number, since it uses less digits than its factorization.

632081712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36685 (or 36676 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 632081712240 its reverse (42217180236), we get a palindrome (674298892476).

The spelling of 632081712240 in words is "six hundred thirty-two billion, eighty-one million, seven hundred twelve thousand, two hundred forty".