632003420160 has 1344 divisors, whose sum is σ = 2665502042112. Its totient is φ = 140651790336.

The previous prime is 632003420117. The next prime is 632003420161. The reversal of 632003420160 is 61024300236.

632003420160 is a `hidden beast` number, since 63 + 20 + 0 + 3 + 420 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632003420161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3274629024 + ... + 3274629216.

It is an arithmetic number, because the mean of its divisors is an integer number (1983260448).

Almost surely, 2^632003420160 is an apocalyptic number.

632003420160 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 632003420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332751021056).

632003420160 is an abundant number, since it is smaller than the sum of its proper divisors (2033498621952).

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

632003420160 is an equidigital number, since it uses as much as digits as its factorization.

632003420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 632003420160 its reverse (61024300236), we get a palindrome (693027720396).

The spelling of 632003420160 in words is "six hundred thirty-two billion, three million, four hundred twenty thousand, one hundred sixty".