68016093600 has 1152 divisors, whose sum is σ = 295241103360. Its totient is φ = 13198049280.

The previous prime is 68016093599. The next prime is 68016093641. The reversal of 68016093600 is 639061086.

It is a happy number.

68016093600 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153534979 + ... + 153535421.

It is an arithmetic number, because the mean of its divisors is an integer number (256285680).

Almost surely, 2^68016093600 is an apocalyptic number.

68016093600 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 68016093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147620551680).

68016093600 is an abundant number, since it is smaller than the sum of its proper divisors (227225009760).

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

68016093600 is a wasteful number, since it uses less digits than its factorization.

68016093600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 68016093600 in words is "sixty-eight billion, sixteen million, ninety-three thousand, six hundred".