631586906496 has 1152 divisors, whose sum is σ = 2389213532160. Its totient is φ = 164602368000.

The previous prime is 631586906479. The next prime is 631586906521. The reversal of 631586906496 is 694609685136.

631586906496 is a `hidden beast` number, since 6 + 3 + 1 + 58 + 6 + 90 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2516282371 + ... + 2516282621.

It is an arithmetic number, because the mean of its divisors is an integer number (2073970080).

Almost surely, 2^631586906496 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 631586906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194606766080).

631586906496 is an abundant number, since it is smaller than the sum of its proper divisors (1757626625664).

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

631586906496 is a wasteful number, since it uses less digits than its factorization.

631586906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 631586906496 in words is "six hundred thirty-one billion, five hundred eighty-six million, nine hundred six thousand, four hundred ninety-six".