6863045040 has 120 divisors (see below), whose sum is σ = 23101958880. Its totient is φ = 1825892352.

The previous prime is 6863045009. The next prime is 6863045047. The reversal of 6863045040 is 405403686.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 6863044986 and 6863045004.

It is not an unprimeable number, because it can be changed into a prime (6863045047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305224 + ... + 326936.

It is an arithmetic number, because the mean of its divisors is an integer number (192516324).

Almost surely, 2^6863045040 is an apocalyptic number.

6863045040 is a gapful number since it is divisible by the number (60) 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 6863045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11550979440).

6863045040 is an abundant number, since it is smaller than the sum of its proper divisors (16238913840).

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

6863045040 is a wasteful number, since it uses less digits than its factorization.

6863045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22171 (or 22162 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6863045040 is about 82843.4972704557. The cubic root of 6863045040 is about 1900.3734298323.

The spelling of 6863045040 in words is "six billion, eight hundred sixty-three million, forty-five thousand, forty".