10034750752 has 192 divisors, whose sum is σ = 23564429280. Its totient is φ = 4161798144.

The previous prime is 10034750729. The next prime is 10034750773. The reversal of 10034750752 is 25705743001.

It can be written as a sum of positive squares in 16 ways, for example, as 360848016 + 9673902736 = 18996^2 + 98356^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 31 ways as a sum of consecutive naturals, for example, 23174728 + ... + 23175160.

Almost surely, 2^10034750752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034750752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11782214640).

10034750752 is an abundant number, since it is smaller than the sum of its proper divisors (13529678528).

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

10034750752 is a wasteful number, since it uses less digits than its factorization.

10034750752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The spelling of 10034750752 in words is "ten billion, thirty-four million, seven hundred fifty thousand, seven hundred fifty-two".