631378944 has 132 divisors (see below), whose sum is σ = 2083747744. Its totient is φ = 180375552.

The previous prime is 631378921. The next prime is 631378999. The reversal of 631378944 is 449873136.

631378944 is a `hidden beast` number, since 631 + 3 + 7 + 8 + 9 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 631378944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59619 + ... + 69405.

Almost surely, 2^631378944 is an apocalyptic number.

631378944 is a gapful number since it is divisible by the number (64) 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 631378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041873872).

631378944 is an abundant number, since it is smaller than the sum of its proper divisors (1452368800).

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

631378944 is a wasteful number, since it uses less digits than its factorization.

631378944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9820 (or 9799 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 631378944 is about 25127.2550032828. The cubic root of 631378944 is about 857.8868907247.

The spelling of 631378944 in words is "six hundred thirty-one million, three hundred seventy-eight thousand, nine hundred forty-four".