8991319680 has 1024 divisors, whose sum is σ = 39070080000. Its totient is φ = 1950842880.

The previous prime is 8991319679. The next prime is 8991319681. The reversal of 8991319680 is 869131998.

It is an interprime number because it is at equal distance from previous prime (8991319679) and next prime (8991319681).

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

It is not an unprimeable number, because it can be changed into a prime (8991319681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219300460 + ... + 219300500.

It is an arithmetic number, because the mean of its divisors is an integer number (38154375).

Almost surely, 2^8991319680 is an apocalyptic number.

8991319680 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 8991319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040000).

8991319680 is an abundant number, since it is smaller than the sum of its proper divisors (30078760320).

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

8991319680 is a wasteful number, since it uses less digits than its factorization.

8991319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 8991319680 is about 94822.5694652913. The cubic root of 8991319680 is about 2079.4148748615.

The spelling of 8991319680 in words is "eight billion, nine hundred ninety-one million, three hundred nineteen thousand, six hundred eighty".