8236868640 has 1152 divisors, whose sum is σ = 37066014720. Its totient is φ = 1509580800.

The previous prime is 8236868639. The next prime is 8236868677. The reversal of 8236868640 is 468686328.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104264121 + ... + 104264199.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 2^8236868640 is an apocalyptic number.

8236868640 is a gapful number since it is divisible by the number (80) 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 8236868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

8236868640 is an abundant number, since it is smaller than the sum of its proper divisors (28829146080).

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

8236868640 is a wasteful number, since it uses less digits than its factorization.

8236868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The square root of 8236868640 is about 90757.1960783276. The cubic root of 8236868640 is about 2019.5473808627.

The spelling of 8236868640 in words is "eight billion, two hundred thirty-six million, eight hundred sixty-eight thousand, six hundred forty".