8244912960 has 336 divisors, whose sum is σ = 30674681856. Its totient is φ = 2024718336.

The previous prime is 8244912941. The next prime is 8244912979. The reversal of 8244912960 is 692194428.

8244912960 is a `hidden beast` number, since 82 + 4 + 491 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (8244912941) and next prime (8244912979).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2299329 + ... + 2302911.

It is an arithmetic number, because the mean of its divisors is an integer number (91293696).

Almost surely, 2^8244912960 is an apocalyptic number.

8244912960 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 8244912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337340928).

8244912960 is an abundant number, since it is smaller than the sum of its proper divisors (22429768896).

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

8244912960 is a wasteful number, since it uses less digits than its factorization.

8244912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8244912960 is about 90801.5030712598. The cubic root of 8244912960 is about 2020.2046128060.

The spelling of 8244912960 in words is "eight billion, two hundred forty-four million, nine hundred twelve thousand, nine hundred sixty".