6812964360 has 192 divisors, whose sum is σ = 22447854000. Its totient is φ = 1791885312.

The previous prime is 6812964337. The next prime is 6812964377. The reversal of 6812964360 is 634692186.

It can be written as a sum of positive squares in 8 ways, for example, as 1376261604 + 5436702756 = 37098^2 + 73734^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15173416 + ... + 15173864.

Almost surely, 2^6812964360 is an apocalyptic number.

6812964360 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 6812964360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223927000).

6812964360 is an abundant number, since it is smaller than the sum of its proper divisors (15634889640).

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

6812964360 is a wasteful number, since it uses less digits than its factorization.

6812964360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6812964360 is about 82540.6830599311. The cubic root of 6812964360 is about 1895.7397028229.

The spelling of 6812964360 in words is "six billion, eight hundred twelve million, nine hundred sixty-four thousand, three hundred sixty".