632794952160 has 960 divisors, whose sum is σ = 2740942955520. Its totient is φ = 134190120960.

The previous prime is 632794952149. The next prime is 632794952233. The reversal of 632794952160 is 61259497236.

632794952160 is a `hidden beast` number, since 6 + 3 + 2 + 79 + 49 + 521 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 632794952097 and 632794952106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 109496151 + ... + 109501929.

It is an arithmetic number, because the mean of its divisors is an integer number (2855148912).

Almost surely, 2^632794952160 is an apocalyptic number.

632794952160 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 632794952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370471477760).

632794952160 is an abundant number, since it is smaller than the sum of its proper divisors (2108148003360).

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

632794952160 is a wasteful number, since it uses less digits than its factorization.

632794952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 632794952160 in words is "six hundred thirty-two billion, seven hundred ninety-four million, nine hundred fifty-two thousand, one hundred sixty".