8064813840 has 160 divisors (see below), whose sum is σ = 26531159040. Its totient is φ = 2022163968.

The previous prime is 8064813793. The next prime is 8064813859. The reversal of 8064813840 is 483184608.

It is a junction number, because it is equal to n+sod(n) for n = 8064813792 and 8064813801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313299 + ... + 338061.

It is an arithmetic number, because the mean of its divisors is an integer number (165819744).

Almost surely, 2^8064813840 is an apocalyptic number.

8064813840 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 8064813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265579520).

8064813840 is an abundant number, since it is smaller than the sum of its proper divisors (18466345200).

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

8064813840 is a wasteful number, since it uses less digits than its factorization.

8064813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24861 (or 24855 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 8064813840 is about 89804.3085826064. The cubic root of 8064813840 is about 2005.3866324042.

The spelling of 8064813840 in words is "eight billion, sixty-four million, eight hundred thirteen thousand, eight hundred forty".