6873226790400 has 960 divisors, whose sum is σ = 25621100144640. Its totient is φ = 1804529664000.

The previous prime is 6873226790329. The next prime is 6873226790401. The reversal of 6873226790400 is 40976223786.

6873226790400 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 226 + 7 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6873226790401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7783948359 + ... + 7783949241.

It is an arithmetic number, because the mean of its divisors is an integer number (26688645984).

Almost surely, 2^{6873226790400} is an apocalyptic number.

6873226790400 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 6873226790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12810550072320).

6873226790400 is an abundant number, since it is smaller than the sum of its proper divisors (18747873354240).

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

6873226790400 is a wasteful number, since it uses less digits than its factorization.

6873226790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6873226790400 in words is "six trillion, eight hundred seventy-three billion, two hundred twenty-six million, seven hundred ninety thousand, four hundred".