8273745993744 has 675 divisors, whose sum is σ = 29733826987215. Its totient is φ = 2141431205760.

The previous prime is 8273745993727. The next prime is 8273745993749. The reversal of 8273745993744 is 4473995473728.

The square root of 8273745993744 is 2876412.

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

8273745993744 is a `hidden beast` number, since 8 + 27 + 3 + 7 + 4 + 599 + 3 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8273745993749) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 29235851427 + ... + 29235851709.

Almost surely, 2^{8273745993744} is an apocalyptic number.

8273745993744 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8273745993744 is the 2876412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8273745993744

8273745993744 is an abundant number, since it is smaller than the sum of its proper divisors (21460080993471).

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

8273745993744 is an equidigital number, since it uses as much as digits as its factorization.

8273745993744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 306 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 8273745993744 in words is "eight trillion, two hundred seventy-three billion, seven hundred forty-five million, nine hundred ninety-three thousand, seven hundred forty-four".