10068429000 has 256 divisors, whose sum is σ = 36057415680. Its totient is φ = 2291347200.

The previous prime is 10068428983. The next prime is 10068429067. The reversal of 10068429000 is 92486001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5522089 + ... + 5523911.

It is an arithmetic number, because the mean of its divisors is an integer number (140849280).

Almost surely, 2^10068429000 is an apocalyptic number.

10068429000 is a gapful number since it is divisible by the number (10) 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 10068429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028707840).

10068429000 is an abundant number, since it is smaller than the sum of its proper divisors (25988986680).

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

10068429000 is a wasteful number, since it uses less digits than its factorization.

10068429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 10068429000 in words is "ten billion, sixty-eight million, four hundred twenty-nine thousand".