8675617099968 has 672 divisors, whose sum is σ = 31620768571392. Its totient is φ = 2212315545600.

The previous prime is 8675617099957. The next prime is 8675617099973. The reversal of 8675617099968 is 8699907165768.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3108424653 + ... + 3108427443.

It is an arithmetic number, because the mean of its divisors is an integer number (47054715136).

Almost surely, 2^{8675617099968} 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 8675617099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810384285696).

8675617099968 is an abundant number, since it is smaller than the sum of its proper divisors (22945151471424).

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

8675617099968 is a wasteful number, since it uses less digits than its factorization.

8675617099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 8675617099968 in words is "eight trillion, six hundred seventy-five billion, six hundred seventeen million, ninety-nine thousand, nine hundred sixty-eight".