631766356416 has 1008 divisors, whose sum is σ = 2224085610240. Its totient is φ = 170280714240.

The previous prime is 631766356411. The next prime is 631766356477. The reversal of 631766356416 is 614653667136.

631766356416 is a `hidden beast` number, since 6 + 3 + 1 + 7 + 6 + 63 + 564 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631766356411) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2232389811 + ... + 2232390093.

Almost surely, 2^631766356416 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 631766356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112042805120).

631766356416 is an abundant number, since it is smaller than the sum of its proper divisors (1592319253824).

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

631766356416 is a wasteful number, since it uses less digits than its factorization.

631766356416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 408 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 631766356416 in words is "six hundred thirty-one billion, seven hundred sixty-six million, three hundred fifty-six thousand, four hundred sixteen".