633382131420 has 192 divisors, whose sum is σ = 2056948992000. Its totient is φ = 161499267072.

The previous prime is 633382131377. The next prime is 633382131449. The reversal of 633382131420 is 24131283336.

633382131420 is a `hidden beast` number, since 6 + 3 + 338 + 2 + 1 + 314 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41338521 + ... + 41353839.

It is an arithmetic number, because the mean of its divisors is an integer number (10713276000).

Almost surely, 2^633382131420 is an apocalyptic number.

633382131420 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 633382131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028474496000).

633382131420 is an abundant number, since it is smaller than the sum of its proper divisors (1423566860580).

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

633382131420 is a wasteful number, since it uses less digits than its factorization.

633382131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18689 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 633382131420 in words is "six hundred thirty-three billion, three hundred eighty-two million, one hundred thirty-one thousand, four hundred twenty".