8045199360 has 480 divisors, whose sum is σ = 31406918400. Its totient is φ = 1887436800.

The previous prime is 8045199347. The next prime is 8045199413. The reversal of 8045199360 is 639915408.

It is a happy number.

8045199360 is a `hidden beast` number, since 80 + 451 + 99 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259522545 + ... + 259522575.

It is an arithmetic number, because the mean of its divisors is an integer number (65431080).

Almost surely, 2^8045199360 is an apocalyptic number.

8045199360 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 8045199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703459200).

8045199360 is an abundant number, since it is smaller than the sum of its proper divisors (23361719040).

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

8045199360 is an equidigital number, since it uses as much as digits as its factorization.

8045199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 8045199360 is about 89695.0353141131. The cubic root of 8045199360 is about 2003.7595418278.

The spelling of 8045199360 in words is "eight billion, forty-five million, one hundred ninety-nine thousand, three hundred sixty".