8119107360 has 768 divisors, whose sum is σ = 36849254400. Its totient is φ = 1621389312.

The previous prime is 8119107343. The next prime is 8119107391. The reversal of 8119107360 is 637019118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7468737 + ... + 7469823.

It is an arithmetic number, because the mean of its divisors is an integer number (47980800).

Almost surely, 2^8119107360 is an apocalyptic number.

8119107360 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 8119107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18424627200).

8119107360 is an abundant number, since it is smaller than the sum of its proper divisors (28730147040).

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

8119107360 is a wasteful number, since it uses less digits than its factorization.

8119107360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8119107360 is about 90106.0894723548. The cubic root of 8119107360 is about 2009.8767578702.

The spelling of 8119107360 in words is "eight billion, one hundred nineteen million, one hundred seven thousand, three hundred sixty".