8193749760 has 864 divisors, whose sum is σ = 35355640320. Its totient is φ = 1709309952.

The previous prime is 8193749749. The next prime is 8193749771. The reversal of 8193749760 is 679473918.

It is a happy number.

8193749760 is a `hidden beast` number, since 8 + 1 + 93 + 7 + 497 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (8193749749) and next prime (8193749771).

It is a junction number, because it is equal to n+sod(n) for n = 8193749697 and 8193749706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58947771 + ... + 58947909.

It is an arithmetic number, because the mean of its divisors is an integer number (40920880).

Almost surely, 2^8193749760 is an apocalyptic number.

8193749760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8193749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677820160).

8193749760 is an abundant number, since it is smaller than the sum of its proper divisors (27161890560).

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

8193749760 is a wasteful number, since it uses less digits than its factorization.

8193749760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 8193749760 is about 90519.3336254747. Note that the first 3 decimals coincide. The cubic root of 8193749760 is about 2016.0171956205.

The spelling of 8193749760 in words is "eight billion, one hundred ninety-three million, seven hundred forty-nine thousand, seven hundred sixty".