6722784 has 96 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 2160000.

The previous prime is 6722767. The next prime is 6722791. The reversal of 6722784 is 4872276.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 6⁴ + 7⁷ + 2¹¹ + 2¹⁷ + 7⁸ + 8 + 4² .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26659 + ... + 26909.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^6722784 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 6722784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

6722784 is an abundant number, since it is smaller than the sum of its proper divisors (13598496).

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

6722784 is a wasteful number, since it uses less digits than its factorization.

6722784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 6722784 is about 2592.8331994172. The cubic root of 6722784 is about 188.7338152577.

The spelling of 6722784 in words is "six million, seven hundred twenty-two thousand, seven hundred eighty-four".