631582759920 has 240 divisors, whose sum is σ = 2306398095360. Its totient is φ = 142534199808.

The previous prime is 631582759849. The next prime is 631582759981. The reversal of 631582759920 is 29957285136.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 589129 + ... + 1268951.

It is an arithmetic number, because the mean of its divisors is an integer number (9609992064).

Almost surely, 2^631582759920 is an apocalyptic number.

631582759920 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 631582759920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153199047680).

631582759920 is an abundant number, since it is smaller than the sum of its proper divisors (1674815335440).

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

631582759920 is a wasteful number, since it uses less digits than its factorization.

631582759920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679932 (or 679919 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 631582759920 in words is "six hundred thirty-one billion, five hundred eighty-two million, seven hundred fifty-nine thousand, nine hundred twenty".