631168476120 has 768 divisors, whose sum is σ = 2674285286400. Its totient is φ = 125366538240.

The previous prime is 631168476067. The next prime is 631168476181. The reversal of 631168476120 is 21674861136.

631168476120 is a `hidden beast` number, since 6 + 3 + 1 + 168 + 476 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101454610 + ... + 101460830.

It is an arithmetic number, because the mean of its divisors is an integer number (3482142300).

Almost surely, 2^631168476120 is an apocalyptic number.

631168476120 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 631168476120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337142643200).

631168476120 is an abundant number, since it is smaller than the sum of its proper divisors (2043116810280).

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

631168476120 is a wasteful number, since it uses less digits than its factorization.

631168476120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 631168476120 in words is "six hundred thirty-one billion, one hundred sixty-eight million, four hundred seventy-six thousand, one hundred twenty".