8864358240 has 384 divisors, whose sum is σ = 30656102400. Its totient is φ = 2146129920.

The previous prime is 8864358233. The next prime is 8864358241. The reversal of 8864358240 is 428534688.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8864358240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8864358241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20191941 + ... + 20192379.

It is an arithmetic number, because the mean of its divisors is an integer number (79833600).

Almost surely, 2^8864358240 is an apocalyptic number.

8864358240 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 8864358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328051200).

8864358240 is an abundant number, since it is smaller than the sum of its proper divisors (21791744160).

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

8864358240 is a wasteful number, since it uses less digits than its factorization.

8864358240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 8864358240 is about 94150.7208681909. The cubic root of 8864358240 is about 2069.5810209455.

The spelling of 8864358240 in words is "eight billion, eight hundred sixty-four million, three hundred fifty-eight thousand, two hundred forty".