68595368298912 has 4320 divisors, whose sum is σ = 285797837445120. Its totient is φ = 16005934264320.

The previous prime is 68595368298887. The next prime is 68595368298913. The reversal of 68595368298912 is 21989286359586.

68595368298912 is a `hidden beast` number, since 6 + 8 + 59 + 536 + 8 + 29 + 8 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (68595368298913) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 665974449453 + ... + 665974449555.

It is an arithmetic number, because the mean of its divisors is an integer number (66156906816).

Almost surely, 2^{68595368298912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68595368298912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142898918722560).

68595368298912 is an abundant number, since it is smaller than the sum of its proper divisors (217202469146208).

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

68595368298912 is a wasteful number, since it uses less digits than its factorization.

68595368298912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 241 counting only the distinct ones).

The product of its digits is 4031078400, while the sum is 81.

The spelling of 68595368298912 in words is "sixty-eight trillion, five hundred ninety-five billion, three hundred sixty-eight million, two hundred ninety-eight thousand, nine hundred twelve".