6864723583200 has 1728 divisors, whose sum is σ = 30403334062080. Its totient is φ = 1463968235520.

The previous prime is 6864723583177. The next prime is 6864723583219. The reversal of 6864723583200 is 23853274686.

6864723583200 is a `hidden beast` number, since 6 + 86 + 4 + 7 + 2 + 358 + 3 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5549492982 + ... + 5549494218.

Almost surely, 2^{6864723583200} is an apocalyptic number.

6864723583200 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 6864723583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201667031040).

6864723583200 is an abundant number, since it is smaller than the sum of its proper divisors (23538610478880).

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

6864723583200 is a wasteful number, since it uses less digits than its factorization.

6864723583200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6864723583200 in words is "six trillion, eight hundred sixty-four billion, seven hundred twenty-three million, five hundred eighty-three thousand, two hundred".