8723965028688 has 960 divisors, whose sum is σ = 31324990627840. Its totient is φ = 2205859848192.

The previous prime is 8723965028627. The next prime is 8723965028741. The reversal of 8723965028688 is 8868205693278.

8723965028688 is a `hidden beast` number, since 8 + 7 + 2 + 39 + 6 + 502 + 8 + 6 + 88 = 666.

It is a super-2 number, since 2×8723965028688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5063240595 + ... + 5063242317.

Almost surely, 2^{8723965028688} 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 8723965028688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662495313920).

8723965028688 is an abundant number, since it is smaller than the sum of its proper divisors (22601025599152).

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

8723965028688 is a wasteful number, since it uses less digits than its factorization.

8723965028688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 8723965028688 in words is "eight trillion, seven hundred twenty-three billion, nine hundred sixty-five million, twenty-eight thousand, six hundred eighty-eight".