6631174614960 has 480 divisors, whose sum is σ = 25615315514880. Its totient is φ = 1505931264000.

The previous prime is 6631174614947. The next prime is 6631174614991. The reversal of 6631174614960 is 694164711366.

6631174614960 is a `hidden beast` number, since 6 + 6 + 3 + 1 + 17 + 4 + 614 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6631174614897 and 6631174614906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1381204560 + ... + 1381209360.

It is an arithmetic number, because the mean of its divisors is an integer number (53365240656).

Almost surely, 2^{6631174614960} is an apocalyptic number.

6631174614960 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 6631174614960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807657757440).

6631174614960 is an abundant number, since it is smaller than the sum of its proper divisors (18984140899920).

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

6631174614960 is a wasteful number, since it uses less digits than its factorization.

6631174614960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6631174614960 in words is "six trillion, six hundred thirty-one billion, one hundred seventy-four million, six hundred fourteen thousand, nine hundred sixty".