8688626688 has 264 divisors, whose sum is σ = 27168471792. Its totient is φ = 2461433856.

The previous prime is 8688626657. The next prime is 8688626699. The reversal of 8688626688 is 8866268868.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29653870 + ... + 29654162.

It is an arithmetic number, because the mean of its divisors is an integer number (102910878).

Almost surely, 2^8688626688 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 8688626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584235896).

8688626688 is an abundant number, since it is smaller than the sum of its proper divisors (18479845104).

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

8688626688 is a wasteful number, since it uses less digits than its factorization.

8688626688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 502 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 66.

The square root of 8688626688 is about 93212.8032407566. The cubic root of 8688626688 is about 2055.8134952727.

The spelling of 8688626688 in words is "eight billion, six hundred eighty-eight million, six hundred twenty-six thousand, six hundred eighty-eight".