632540033874 has 256 divisors, whose sum is σ = 1677749760000. Its totient is φ = 172832679936.

The previous prime is 632540033833. The next prime is 632540033891. The reversal of 632540033874 is 478330045236.

632540033874 is a `hidden beast` number, since 6 + 3 + 2 + 540 + 0 + 3 + 38 + 74 = 666.

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 127 ways as a sum of consecutive naturals, for example, 680882242 + ... + 680883170.

It is an arithmetic number, because the mean of its divisors is an integer number (6553710000).

Almost surely, 2^632540033874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632540033874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838874880000).

632540033874 is an abundant number, since it is smaller than the sum of its proper divisors (1045209726126).

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

632540033874 is a wasteful number, since it uses less digits than its factorization.

632540033874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 632540033874 in words is "six hundred thirty-two billion, five hundred forty million, thirty-three thousand, eight hundred seventy-four".