6631602259968 has 432 divisors, whose sum is σ = 22346352887040. Its totient is φ = 1894654992384.

The previous prime is 6631602259819. The next prime is 6631602259969. The reversal of 6631602259968 is 8699522061366.

6631602259968 is a `hidden beast` number, since 6 + 6 + 3 + 16 + 0 + 22 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×6631602259968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6631602259969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309775921 + ... + 309797327.

It is an arithmetic number, because the mean of its divisors is an integer number (51727668720).

Almost surely, 2^{6631602259968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6631602259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173176443520).

6631602259968 is an abundant number, since it is smaller than the sum of its proper divisors (15714750627072).

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

6631602259968 is an frugal number, since it uses more digits than its factorization.

6631602259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21470 (or 21419 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 6631602259968 in words is "six trillion, six hundred thirty-one billion, six hundred two million, two hundred fifty-nine thousand, nine hundred sixty-eight".