6812400672 has 720 divisors, whose sum is σ = 26279225280. Its totient is φ = 1692472320.

The previous prime is 6812400593. The next prime is 6812400697. The reversal of 6812400672 is 2760042186.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63667243 + ... + 63667349.

It is an arithmetic number, because the mean of its divisors is an integer number (36498924).

Almost surely, 2^6812400672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6812400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139612640).

6812400672 is an abundant number, since it is smaller than the sum of its proper divisors (19466824608).

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

6812400672 is a wasteful number, since it uses less digits than its factorization.

6812400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6812400672 is about 82537.2683822284. The cubic root of 6812400672 is about 1895.6874184262.

The spelling of 6812400672 in words is "six billion, eight hundred twelve million, four hundred thousand, six hundred seventy-two".