663296832 has 252 divisors, whose sum is σ = 2164210048. Its totient is φ = 193881600.

The previous prime is 663296827. The next prime is 663296849. The reversal of 663296832 is 238692366.

663296832 is a `hidden beast` number, since 6 + 632 + 9 + 6 + 8 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2160423 + ... + 2160729.

Almost surely, 2^663296832 is an apocalyptic number.

663296832 is a gapful number since it is divisible by the number (62) 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 663296832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082105024).

663296832 is an abundant number, since it is smaller than the sum of its proper divisors (1500913216).

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

663296832 is a wasteful number, since it uses less digits than its factorization.

663296832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 663296832 is about 25754.5497339790. The cubic root of 663296832 is about 872.1060668331.

It can be divided in two parts, 663296 and 832, that added together give a triangular number (664128 = T₁₁₅₂).

The spelling of 663296832 in words is "six hundred sixty-three million, two hundred ninety-six thousand, eight hundred thirty-two".