631442380800 has 1728 divisors, whose sum is σ = 2750786438400. Its totient is φ = 126202675200.

The previous prime is 631442380733. The next prime is 631442380873. The reversal of 631442380800 is 8083244136.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2400921469 + ... + 2400921731.

It is an arithmetic number, because the mean of its divisors is an integer number (1591890300).

Almost surely, 2^631442380800 is an apocalyptic number.

631442380800 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 631442380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375393219200).

631442380800 is an abundant number, since it is smaller than the sum of its proper divisors (2119344057600).

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

631442380800 is a wasteful number, since it uses less digits than its factorization.

631442380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 631442380800 in words is "six hundred thirty-one billion, four hundred forty-two million, three hundred eighty thousand, eight hundred".