68845312800 has 576 divisors, whose sum is σ = 274977400320. Its totient is φ = 16483968000.

The previous prime is 68845312793. The next prime is 68845312801. The reversal of 68845312800 is 821354886.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68845312801) 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, 19719055 + ... + 19722545.

It is an arithmetic number, because the mean of its divisors is an integer number (477391320).

Almost surely, 2^68845312800 is an apocalyptic number.

68845312800 is a gapful number since it is divisible by the number (60) 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 68845312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137488700160).

68845312800 is an abundant number, since it is smaller than the sum of its proper divisors (206132087520).

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

68845312800 is a wasteful number, since it uses less digits than its factorization.

68845312800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 68845312800 in words is "sixty-eight billion, eight hundred forty-five million, three hundred twelve thousand, eight hundred".