9408415680 has 392 divisors, whose sum is σ = 34700529024. Its totient is φ = 2426112000.

The previous prime is 9408415607. The next prime is 9408415691. The reversal of 9408415680 is 865148049.

9408415680 is a `hidden beast` number, since 9 + 4 + 0 + 84 + 1 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7231030 + ... + 7232330.

Almost surely, 2^9408415680 is an apocalyptic number.

9408415680 is a gapful number since it is divisible by the number (90) 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 9408415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350264512).

9408415680 is an abundant number, since it is smaller than the sum of its proper divisors (25292113344).

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

9408415680 is a wasteful number, since it uses less digits than its factorization.

9408415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9408415680 is about 96996.9879944733. The cubic root of 9408415680 is about 2111.0839260601.

The spelling of 9408415680 in words is "nine billion, four hundred eight million, four hundred fifteen thousand, six hundred eighty".