6812644320 has 360 divisors, whose sum is σ = 24888973032. Its totient is φ = 1754887680.

The previous prime is 6812644309. The next prime is 6812644343. The reversal of 6812644320 is 234462186.

6812644320 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 644 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12454287 + ... + 12454833.

Almost surely, 2^6812644320 is an apocalyptic number.

6812644320 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 6812644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444486516).

6812644320 is an abundant number, since it is smaller than the sum of its proper divisors (18076328712).

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

6812644320 is a wasteful number, since it uses less digits than its factorization.

6812644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6812644320 is about 82538.7443568171. The cubic root of 6812644320 is about 1895.7100181413.

It can be divided in two parts, 681264 and 4320, that added together give a square (685584 = 828²).

The spelling of 6812644320 in words is "six billion, eight hundred twelve million, six hundred forty-four thousand, three hundred twenty".