8749764000000 has 1701 divisors, whose sum is σ = 34693272150901. Its totient is φ = 2120294400000.

The previous prime is 8749763999953. The next prime is 8749764000011. The reversal of 8749764000000 is 4679478.

The square root of 8749764000000 is 2958000.

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

It can be written as a sum of positive squares in 31 ways, for example, as 3455494338816 + 5294269661184 = 1858896^2 + 2300928^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8749764000000.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 301715999986 + ... + 301716000014.

Almost surely, 2^{8749764000000} is an apocalyptic number.

8749764000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8749764000000 is the 2958000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8749764000000

8749764000000 is an abundant number, since it is smaller than the sum of its proper divisors (25943508150901).

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

8749764000000 is an frugal number, since it uses more digits than its factorization.

8749764000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

Adding to 8749764000000 its reverse (4679478), we get a palindrome (8749768679478).

The spelling of 8749764000000 in words is "eight trillion, seven hundred forty-nine billion, seven hundred sixty-four million", and thus it is an aban number.