632729664 has 336 divisors, whose sum is σ = 2270719360. Its totient is φ = 169205760.

The previous prime is 632729663. The next prime is 632729677. The reversal of 632729664 is 466927236.

632729664 is a `hidden beast` number, since 632 + 7 + 2 + 9 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (653184) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (632729663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495654 + ... + 3495834.

Almost surely, 2^632729664 is an apocalyptic number.

632729664 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 632729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135359680).

632729664 is an abundant number, since it is smaller than the sum of its proper divisors (1637989696).

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

632729664 is a wasteful number, since it uses less digits than its factorization.

632729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 632729664 is about 25154.1182314149. The cubic root of 632729664 is about 858.4982191251.

The spelling of 632729664 in words is "six hundred thirty-two million, seven hundred twenty-nine thousand, six hundred sixty-four".