6811392000 has 576 divisors, whose sum is σ = 26508474720. Its totient is φ = 1548288000.

The previous prime is 6811391999. The next prime is 6811392053. The reversal of 6811392000 is 2931186.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37631910 + ... + 37632090.

Almost surely, 2^6811392000 is an apocalyptic number.

6811392000 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 6811392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13254237360).

6811392000 is an abundant number, since it is smaller than the sum of its proper divisors (19697082720).

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

6811392000 is a wasteful number, since it uses less digits than its factorization.

6811392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 6811392000 is about 82531.1577526936. The cubic root of 6811392000 is about 1895.5938527219.

The spelling of 6811392000 in words is "six billion, eight hundred eleven million, three hundred ninety-two thousand".