9381415680 has 1152 divisors, whose sum is σ = 43404748800. Its totient is φ = 1863254016.

The previous prime is 9381415669. The next prime is 9381415717. The reversal of 9381415680 is 865141839.

9381415680 is a `hidden beast` number, since 9 + 3 + 81 + 4 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59754162 + ... + 59754318.

Almost surely, 2^9381415680 is an apocalyptic number.

9381415680 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 9381415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21702374400).

9381415680 is an abundant number, since it is smaller than the sum of its proper divisors (34023333120).

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

9381415680 is a wasteful number, since it uses less digits than its factorization.

9381415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 9381415680 is about 96857.7084180707. The cubic root of 9381415680 is about 2109.0625486043.

The spelling of 9381415680 in words is "nine billion, three hundred eighty-one million, four hundred fifteen thousand, six hundred eighty".