8406688320 has 336 divisors, whose sum is σ = 30905135040. Its totient is φ = 2091184128.

The previous prime is 8406688319. The next prime is 8406688321. The reversal of 8406688320 is 238866048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8406688319) and next prime (8406688321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8406688321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3665094 + ... + 3667386.

Almost surely, 2^8406688320 is an apocalyptic number.

8406688320 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 8406688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452567520).

8406688320 is an abundant number, since it is smaller than the sum of its proper divisors (22498446720).

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

8406688320 is a wasteful number, since it uses less digits than its factorization.

8406688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8406688320 is about 91687.9944158449. The cubic root of 8406688320 is about 2033.3320930447.

The spelling of 8406688320 in words is "eight billion, four hundred six million, six hundred eighty-eight thousand, three hundred twenty".