68039461200 has 240 divisors, whose sum is σ = 220570257600. Its totient is φ = 17927270400.

The previous prime is 68039461181. The next prime is 68039461201. The reversal of 68039461200 is 216493086.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68039461201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42285996 + ... + 42287604.

It is an arithmetic number, because the mean of its divisors is an integer number (919042740).

Almost surely, 2^68039461200 is an apocalyptic number.

68039461200 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 68039461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110285128800).

68039461200 is an abundant number, since it is smaller than the sum of its proper divisors (152530796400).

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

68039461200 is a wasteful number, since it uses less digits than its factorization.

68039461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 68039461200 in words is "sixty-eight billion, thirty-nine million, four hundred sixty-one thousand, two hundred".