68146965600 has 576 divisors, whose sum is σ = 272357568000. Its totient is φ = 14753249280.

The previous prime is 68146965599. The next prime is 68146965661. The reversal of 68146965600 is 656964186.

It is a happy number.

68146965600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15638622 + ... + 15642978.

It is an arithmetic number, because the mean of its divisors is an integer number (472843000).

Almost surely, 2^68146965600 is an apocalyptic number.

68146965600 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 68146965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136178784000).

68146965600 is an abundant number, since it is smaller than the sum of its proper divisors (204210602400).

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

68146965600 is a wasteful number, since it uses less digits than its factorization.

68146965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 68146965600 in words is "sixty-eight billion, one hundred forty-six million, nine hundred sixty-five thousand, six hundred".