6813892800 has 672 divisors, whose sum is σ = 29208130560. Its totient is φ = 1523404800.

The previous prime is 6813892763. The next prime is 6813892817. The reversal of 6813892800 is 82983186.

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 95 ways as a sum of consecutive naturals, for example, 6177049 + ... + 6178151.

It is an arithmetic number, because the mean of its divisors is an integer number (43464480).

Almost surely, 2^6813892800 is an apocalyptic number.

6813892800 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 6813892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604065280).

6813892800 is an abundant number, since it is smaller than the sum of its proper divisors (22394237760).

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

6813892800 is a wasteful number, since it uses less digits than its factorization.

6813892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6813892800 is about 82546.3070040084. The cubic root of 6813892800 is about 1895.8258131919.

The spelling of 6813892800 in words is "six billion, eight hundred thirteen million, eight hundred ninety-two thousand, eight hundred".