6784045344400 has 135 divisors (see below), whose sum is σ = 16845402422619. Its totient is φ = 2625456960000.

The previous prime is 6784045344397. The next prime is 6784045344403. The reversal of 6784045344400 is 44435404876.

It is a happy number.

The square root of 6784045344400 is 2604620.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (6784045344397) and next prime (6784045344403).

It can be written as a sum of positive squares in 4 ways, for example, as 2726818110864 + 4057227233536 = 1651308^2 + 2014256^2 .

It is a super-2 number, since 2×6784045344400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6784045344403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1614862300 + ... + 1614866500.

Almost surely, 2^{6784045344400} is an apocalyptic number.

6784045344400 is the 2604620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6784045344400

6784045344400 is an abundant number, since it is smaller than the sum of its proper divisors (10061357078219).

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

6784045344400 is an frugal number, since it uses more digits than its factorization.

6784045344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 49.

Multiplying 6784045344400 by its sum of digits (49), we get a square (332418221875600 = 18232340²).

The spelling of 6784045344400 in words is "six trillion, seven hundred eighty-four billion, forty-five million, three hundred forty-four thousand, four hundred".