10068643200 has 768 divisors, whose sum is σ = 42290864640. Its totient is φ = 2044723200.

The previous prime is 10068643087. The next prime is 10068643201. The reversal of 10068643200 is 234686001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10068643201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39177472 + ... + 39177728.

It is an arithmetic number, because the mean of its divisors is an integer number (55066230).

Almost surely, 2^10068643200 is an apocalyptic number.

10068643200 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 10068643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21145432320).

10068643200 is an abundant number, since it is smaller than the sum of its proper divisors (32222221440).

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

10068643200 is a wasteful number, since it uses less digits than its factorization.

10068643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10068643200 in words is "ten billion, sixty-eight million, six hundred forty-three thousand, two hundred".