632724188096 has 672 divisors, whose sum is σ = 1830673861632. Its totient is φ = 208813916160.

The previous prime is 632724188069. The next prime is 632724188099. The reversal of 632724188096 is 690881427236.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632724188099) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2405795261 + ... + 2405795523.

It is an arithmetic number, because the mean of its divisors is an integer number (2724217056).

Almost surely, 2^632724188096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632724188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915336930816).

632724188096 is an abundant number, since it is smaller than the sum of its proper divisors (1197949673536).

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

632724188096 is a wasteful number, since it uses less digits than its factorization.

632724188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 632724188096 in words is "six hundred thirty-two billion, seven hundred twenty-four million, one hundred eighty-eight thousand, ninety-six".