6631208962560 has 960 divisors, whose sum is σ = 28923259292928. Its totient is φ = 1366556147712.

The previous prime is 6631208962559. The next prime is 6631208962577. The reversal of 6631208962560 is 652698021366.

6631208962560 is a `hidden beast` number, since 6 + 6 + 3 + 1 + 2 + 0 + 8 + 9 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 6631208962497 and 6631208962506.

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 95 ways as a sum of consecutive naturals, for example, 90118744 + ... + 90192296.

Almost surely, 2^{6631208962560} is an apocalyptic number.

6631208962560 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 6631208962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461629646464).

6631208962560 is an abundant number, since it is smaller than the sum of its proper divisors (22292050330368).

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

6631208962560 is a wasteful number, since it uses less digits than its factorization.

6631208962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73645 (or 73626 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6631208962560 in words is "six trillion, six hundred thirty-one billion, two hundred eight million, nine hundred sixty-two thousand, five hundred sixty".