8306417664 has 84 divisors (see below), whose sum is σ = 23995066056. Its totient is φ = 2768781312.

The previous prime is 8306417657. The next prime is 8306417681. The reversal of 8306417664 is 4667146038.

It is a happy number.

It is a super-2 number, since 2×8306417664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17397 + ... + 130059.

Almost surely, 2^8306417664 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 8306417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997533028).

8306417664 is an abundant number, since it is smaller than the sum of its proper divisors (15688648392).

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

8306417664 is a wasteful number, since it uses less digits than its factorization.

8306417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112695 (or 112668 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8306417664 is about 91139.5504926374. The cubic root of 8306417664 is about 2025.2155571176.

The spelling of 8306417664 in words is "eight billion, three hundred six million, four hundred seventeen thousand, six hundred sixty-four".