10034792568 has 80 divisors (see below), whose sum is σ = 28148079960. Its totient is φ = 3340008000.

The previous prime is 10034792497. The next prime is 10034792569. The reversal of 10034792568 is 86529743001.

10034792568 is a `hidden beast` number, since 10 + 0 + 3 + 4 + 79 + 2 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034792569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 443203 + ... + 465293.

It is a 1-persistent number, because it is pandigital, but 2⋅10034792568 = 20069585136 is not.

Almost surely, 2^10034792568 is an apocalyptic number.

10034792568 is a gapful number since it is divisible by the number (18) 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 10034792568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14074039980).

10034792568 is an abundant number, since it is smaller than the sum of its proper divisors (18113287392).

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

10034792568 is a wasteful number, since it uses less digits than its factorization.

10034792568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22810 (or 22797 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10034792568 in words is "ten billion, thirty-four million, seven hundred ninety-two thousand, five hundred sixty-eight".