631471538880 has 1344 divisors, whose sum is σ = 2846354853888. Its totient is φ = 124694691840.

The previous prime is 631471538857. The next prime is 631471538909. The reversal of 631471538880 is 88835174136.

It is a happy number.

631471538880 is a `hidden beast` number, since 6 + 31 + 4 + 71 + 538 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1207402299 + ... + 1207402821.

It is an arithmetic number, because the mean of its divisors is an integer number (2117823552).

Almost surely, 2^631471538880 is an apocalyptic number.

631471538880 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 631471538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423177426944).

631471538880 is an abundant number, since it is smaller than the sum of its proper divisors (2214883315008).

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

631471538880 is a wasteful number, since it uses less digits than its factorization.

631471538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 631471538880 in words is "six hundred thirty-one billion, four hundred seventy-one million, five hundred thirty-eight thousand, eight hundred eighty".