6896813040 has 800 divisors, whose sum is σ = 28231526400. Its totient is φ = 1545246720.

The previous prime is 6896812997. The next prime is 6896813057. The reversal of 6896813040 is 403186986.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49617291 + ... + 49617429.

It is an arithmetic number, because the mean of its divisors is an integer number (35289408).

Almost surely, 2^6896813040 is an apocalyptic number.

6896813040 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 6896813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115763200).

6896813040 is an abundant number, since it is smaller than the sum of its proper divisors (21334713360).

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

6896813040 is a wasteful number, since it uses less digits than its factorization.

6896813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6896813040 is about 83047.0531686706. The cubic root of 6896813040 is about 1903.4851122279.

The spelling of 6896813040 in words is "six billion, eight hundred ninety-six million, eight hundred thirteen thousand, forty".