6798263593104 has 405 divisors, whose sum is σ = 20251285996851. Its totient is φ = 2128847495040.

The previous prime is 6798263593097. The next prime is 6798263593151. The reversal of 6798263593104 is 4013953628976.

The square root of 6798263593104 is 2607348.

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

6798263593104 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 26 + 3 + 593 + 10 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 41707138527 + ... + 41707138689.

It is a 1-persistent number, because it is pandigital, but 2⋅6798263593104 = 13596527186208 is not.

Almost surely, 2^{6798263593104} is an apocalyptic number.

6798263593104 is the 2607348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6798263593104

6798263593104 is an abundant number, since it is smaller than the sum of its proper divisors (13453022403747).

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

6798263593104 is a wasteful number, since it uses less digits than its factorization.

6798263593104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 6798263593104 in words is "six trillion, seven hundred ninety-eight billion, two hundred sixty-three million, five hundred ninety-three thousand, one hundred four".