6748263498564 has 405 divisors, whose sum is σ = 20969915721447. Its totient is φ = 1886833533312.

The previous prime is 6748263498523. The next prime is 6748263498623. The reversal of 6748263498564 is 4658943628476.

The square root of 6748263498564 is 2597742.

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

6748263498564 is a `hidden beast` number, since 6 + 7 + 4 + 8 + 26 + 34 + 9 + 8 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16355852100 + 6731907646464 = 127890^2 + 2594592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6748263498492 and 6748263498501.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 17347720882 + ... + 17347721270.

Almost surely, 2^{6748263498564} is an apocalyptic number.

6748263498564 is the 2597742-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6748263498564

6748263498564 is an abundant number, since it is smaller than the sum of its proper divisors (14221652222883).

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

6748263498564 is an equidigital number, since it uses as much as digits as its factorization.

6748263498564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 454 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 6748263498564 in words is "six trillion, seven hundred forty-eight billion, two hundred sixty-three million, four hundred ninety-eight thousand, five hundred sixty-four".