8145699840 has 264 divisors, whose sum is σ = 28888050048. Its totient is φ = 2121154560.

The previous prime is 8145699827. The next prime is 8145699847. The reversal of 8145699840 is 489965418.

It is not an unprimeable number, because it can be changed into a prime (8145699847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1979385 + ... + 1983495.

It is an arithmetic number, because the mean of its divisors is an integer number (109424432).

Almost surely, 2^8145699840 is an apocalyptic number.

8145699840 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 8145699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14444025024).

8145699840 is an abundant number, since it is smaller than the sum of its proper divisors (20742350208).

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

8145699840 is a wasteful number, since it uses less digits than its factorization.

8145699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8145699840 is about 90253.5309004584. The cubic root of 8145699840 is about 2012.0686803243.

The spelling of 8145699840 in words is "eight billion, one hundred forty-five million, six hundred ninety-nine thousand, eight hundred forty".