8968399684608 has 1408 divisors, whose sum is σ = 33476212224000. Its totient is φ = 2107950759936.

The previous prime is 8968399684597. The next prime is 8968399684613. The reversal of 8968399684608 is 8064869938698.

It is a happy number.

It is a super-2 number, since 2×8968399684608² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4424468491 + ... + 4424470517.

Almost surely, 2^{8968399684608} 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 8968399684608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738106112000).

8968399684608 is an abundant number, since it is smaller than the sum of its proper divisors (24507812539392).

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

8968399684608 is a wasteful number, since it uses less digits than its factorization.

8968399684608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 7739670528, while the sum is 84.

The spelling of 8968399684608 in words is "eight trillion, nine hundred sixty-eight billion, three hundred ninety-nine million, six hundred eighty-four thousand, six hundred eight".