8694876784968 has 192 divisors, whose sum is σ = 26816242489920. Its totient is φ = 2521573286400.

The previous prime is 8694876784961. The next prime is 8694876784969.

It is a happy number.

8694876784968 is a `hidden beast` number, since 8 + 6 + 9 + 48 + 7 + 6 + 78 + 496 + 8 = 666.

8694876784968 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8694876784968² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8694876784961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644530 + ... + 4219617.

It is an arithmetic number, because the mean of its divisors is an integer number (139667929635).

Almost surely, 2^{8694876784968} is an apocalyptic number.

8694876784968 is a gapful number since it is divisible by the number (88) 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 8694876784968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408121244960).

8694876784968 is an abundant number, since it is smaller than the sum of its proper divisors (18121365704952).

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

8694876784968 is a wasteful number, since it uses less digits than its factorization.

8694876784968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864268 (or 4864261 counting only the distinct ones).

The product of its digits is 56184274944, while the sum is 90.

The spelling of 8694876784968 in words is "eight trillion, six hundred ninety-four billion, eight hundred seventy-six million, seven hundred eighty-four thousand, nine hundred sixty-eight".