632200579920 has 960 divisors, whose sum is σ = 2722259764224. Its totient is φ = 127919554560.

The previous prime is 632200579909. The next prime is 632200579921. The reversal of 632200579920 is 29975002236.

It is a happy number.

632200579920 is a `hidden beast` number, since 6 + 32 + 20 + 0 + 579 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632200579921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172119204 + ... + 172122876.

Almost surely, 2^632200579920 is an apocalyptic number.

632200579920 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 632200579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361129882112).

632200579920 is an abundant number, since it is smaller than the sum of its proper divisors (2090059184304).

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

632200579920 is a wasteful number, since it uses less digits than its factorization.

632200579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 632200579920 in words is "six hundred thirty-two billion, two hundred million, five hundred seventy-nine thousand, nine hundred twenty".