6819456400 has 45 divisors (see below), whose sum is σ = 16387712931. Its totient is φ = 2727121920.

The previous prime is 6819456373. The next prime is 6819456431. The reversal of 6819456400 is 46549186.

The square root of 6819456400 is 82580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 53406864 + 6766049536 = 7308^2 + 82256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1649536 + ... + 1653664.

Almost surely, 2^6819456400 is an apocalyptic number.

6819456400 is the 82580-th square number.

It is an amenable number.

6819456400 is an abundant number, since it is smaller than the sum of its proper divisors (9568256531).

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

6819456400 is an frugal number, since it uses more digits than its factorization.

6819456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The cubic root of 6819456400 is about 1896.3416586548.

The spelling of 6819456400 in words is "six billion, eight hundred nineteen million, four hundred fifty-six thousand, four hundred".