6812958240 has 432 divisors, whose sum is σ = 26014381848. Its totient is φ = 1622016000.

The previous prime is 6812958223. The next prime is 6812958263. The reversal of 6812958240 is 428592186.

6812958240 is a `hidden beast` number, since 6 + 8 + 1 + 29 + 582 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5062037904 + 1750920336 = 71148^2 + 41844^2 .

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 71 ways as a sum of consecutive naturals, for example, 10628320 + ... + 10628960.

Almost surely, 2^6812958240 is an apocalyptic number.

6812958240 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 6812958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007190924).

6812958240 is an abundant number, since it is smaller than the sum of its proper divisors (19201423608).

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

6812958240 is a wasteful number, since it uses less digits than its factorization.

6812958240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6812958240 is about 82540.6459872953. The cubic root of 6812958240 is about 1895.7391351831.

The spelling of 6812958240 in words is "six billion, eight hundred twelve million, nine hundred fifty-eight thousand, two hundred forty".