632193664 has 64 divisors (see below), whose sum is σ = 1313107200. Its totient is φ = 302837760.

The previous prime is 632193641. The next prime is 632193689. The reversal of 632193664 is 466391236.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423832 + ... + 425320.

It is an arithmetic number, because the mean of its divisors is an integer number (20517300).

Almost surely, 2^632193664 is an apocalyptic number.

632193664 is a gapful number since it is divisible by the number (64) 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 632193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656553600).

632193664 is an abundant number, since it is smaller than the sum of its proper divisors (680913536).

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

632193664 is a wasteful number, since it uses less digits than its factorization.

632193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1629 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

The square root of 632193664 is about 25143.4616550705. The cubic root of 632193664 is about 858.2557327107.

The spelling of 632193664 in words is "six hundred thirty-two million, one hundred ninety-three thousand, six hundred sixty-four".