8864968320 has 1024 divisors, whose sum is σ = 37287936000. Its totient is φ = 1970749440.

The previous prime is 8864968313. The next prime is 8864968369. The reversal of 8864968320 is 238694688.

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, 132312927 + ... + 132312993.

It is an arithmetic number, because the mean of its divisors is an integer number (36414000).

Almost surely, 2^8864968320 is an apocalyptic number.

8864968320 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 8864968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643968000).

8864968320 is an abundant number, since it is smaller than the sum of its proper divisors (28422967680).

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

8864968320 is a wasteful number, since it uses less digits than its factorization.

8864968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 8864968320 is about 94153.9607239122. The cubic root of 8864968320 is about 2069.6284987584.

The spelling of 8864968320 in words is "eight billion, eight hundred sixty-four million, nine hundred sixty-eight thousand, three hundred twenty".