4068600800 has 144 divisors (see below), whose sum is σ = 10927831824. Its totient is φ = 1479104000.

The previous prime is 4068600787. The next prime is 4068600839. The reversal of 4068600800 is 80068604.

4068600800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062890 + ... + 1066710.

It is an arithmetic number, because the mean of its divisors is an integer number (75887721).

Almost surely, 2^4068600800 is an apocalyptic number.

4068600800 is a gapful number since it is divisible by the number (40) 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 4068600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463915912).

4068600800 is an abundant number, since it is smaller than the sum of its proper divisors (6859231024).

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

4068600800 is a wasteful number, since it uses less digits than its factorization.

4068600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 4068600800 is about 63785.5845783356. The cubic root of 4068600800 is about 1596.4244112638.

The spelling of 4068600800 in words is "four billion, sixty-eight million, six hundred thousand, eight hundred".