8309412864 has 440 divisors, whose sum is σ = 26964197568. Its totient is φ = 2539192320.

The previous prime is 8309412841. The next prime is 8309412871. The reversal of 8309412864 is 4682149038.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100113367 + ... + 100113449.

Almost surely, 2^8309412864 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 8309412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482098784).

8309412864 is an abundant number, since it is smaller than the sum of its proper divisors (18654784704).

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

8309412864 is a wasteful number, since it uses less digits than its factorization.

8309412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8309412864 is about 91155.9809557223. The cubic root of 8309412864 is about 2025.4589511183.

The spelling of 8309412864 in words is "eight billion, three hundred nine million, four hundred twelve thousand, eight hundred sixty-four".