4068545600 has 336 divisors, whose sum is σ = 11973519360. Its totient is φ = 1331865600.

The previous prime is 4068545527. The next prime is 4068545627. The reversal of 4068545600 is 65458604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31057535 + ... + 31057665.

Almost surely, 2^4068545600 is an apocalyptic number.

4068545600 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 4068545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986759680).

4068545600 is an abundant number, since it is smaller than the sum of its proper divisors (7904973760).

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

4068545600 is a wasteful number, since it uses less digits than its factorization.

4068545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 4068545600 is about 63785.1518772198. The cubic root of 4068545600 is about 1596.4171914987.

The spelling of 4068545600 in words is "four billion, sixty-eight million, five hundred forty-five thousand, six hundred".