631497980160 has 864 divisors, whose sum is σ = 2423147021568. Its totient is φ = 157076029440.

The previous prime is 631497980111. The next prime is 631497980173. The reversal of 631497980160 is 61089794136.

631497980160 is a `hidden beast` number, since 6 + 3 + 1 + 497 + 98 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 631497980097 and 631497980106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293309644 + ... + 293311796.

It is an arithmetic number, because the mean of its divisors is an integer number (2804568312).

Almost surely, 2^631497980160 is an apocalyptic number.

631497980160 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 631497980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211573510784).

631497980160 is an abundant number, since it is smaller than the sum of its proper divisors (1791649041408).

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

631497980160 is a wasteful number, since it uses less digits than its factorization.

631497980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 631497980160 in words is "six hundred thirty-one billion, four hundred ninety-seven million, nine hundred eighty thousand, one hundred sixty".