8949991680 has 432 divisors, whose sum is σ = 36266315904. Its totient is φ = 1995079680.

The previous prime is 8949991637. The next prime is 8949991697. The reversal of 8949991680 is 861999498.

8949991680 is a `hidden beast` number, since 89 + 499 + 9 + 1 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 3304887 + ... + 3307593.

Almost surely, 2^8949991680 is an apocalyptic number.

8949991680 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 8949991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133157952).

8949991680 is an abundant number, since it is smaller than the sum of its proper divisors (27316324224).

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

8949991680 is a wasteful number, since it uses less digits than its factorization.

8949991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The square root of 8949991680 is about 94604.3956695459. The cubic root of 8949991680 is about 2076.2240171682.

The spelling of 8949991680 in words is "eight billion, nine hundred forty-nine million, nine hundred ninety-one thousand, six hundred eighty".