6828072111364 has 27 divisors (see below), whose sum is σ = 13900078413543. Its totient is φ = 2926300940808.

The previous prime is 6828072111331. The next prime is 6828072111379. The reversal of 6828072111364 is 4631112708286.

The square root of 6828072111364 is 2613058.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 36489489 + ... + 36676135.

Almost surely, 2^{6828072111364} is an apocalyptic number.

6828072111364 is the 2613058-th square number.

It is an amenable number.

6828072111364 is an abundant number, since it is smaller than the sum of its proper divisors (7072006302179).

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

6828072111364 is an frugal number, since it uses more digits than its factorization.

6828072111364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373312 (or 186656 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 6828072111364 by its sum of digits (49), we get a square (334575533456836 = 18291406²).

6828072111364 divided by its sum of digits (49) gives a square (139348410436 = 373294²).

The spelling of 6828072111364 in words is "six trillion, eight hundred twenty-eight billion, seventy-two million, one hundred eleven thousand, three hundred sixty-four".