9149809680 has 640 divisors, whose sum is σ = 35869132800. Its totient is φ = 2124748800.

The previous prime is 9149809673. The next prime is 9149809703. The reversal of 9149809680 is 869089419.

9149809680 is a `hidden beast` number, since 91 + 498 + 0 + 9 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85512187 + ... + 85512293.

It is an arithmetic number, because the mean of its divisors is an integer number (56045520).

Almost surely, 2^9149809680 is an apocalyptic number.

9149809680 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 9149809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17934566400).

9149809680 is an abundant number, since it is smaller than the sum of its proper divisors (26719323120).

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

9149809680 is a wasteful number, since it uses less digits than its factorization.

9149809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9149809680 is about 95654.6375247954. The cubic root of 9149809680 is about 2091.5617303976.

The spelling of 9149809680 in words is "nine billion, one hundred forty-nine million, eight hundred nine thousand, six hundred eighty".