631530434304 has 432 divisors, whose sum is σ = 2273704392960. Its totient is φ = 163777904640.

The previous prime is 631530434291. The next prime is 631530434317. The reversal of 631530434304 is 403434035136.

631530434304 is a `hidden beast` number, since 6 + 3 + 1 + 5 + 304 + 343 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (631530434291) and next prime (631530434317).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131102104 + ... + 131106920.

Almost surely, 2^631530434304 is an apocalyptic number.

631530434304 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 631530434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136852196480).

631530434304 is an abundant number, since it is smaller than the sum of its proper divisors (1642173958656).

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

631530434304 is a wasteful number, since it uses less digits than its factorization.

631530434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 631530434304 in words is "six hundred thirty-one billion, five hundred thirty million, four hundred thirty-four thousand, three hundred four".