68068304640000 has 3360 divisors, whose sum is σ = 309069368768160. Its totient is φ = 14619377664000.

The previous prime is 68068304639963. The next prime is 68068304640031. The reversal of 68068304640000 is 4640386086.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 111041279694 + ... + 111041280306.

It is an arithmetic number, because the mean of its divisors is an integer number (91984931181).

Almost surely, 2^{68068304640000} is an apocalyptic number.

68068304640000 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 68068304640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154534684384080).

68068304640000 is an abundant number, since it is smaller than the sum of its proper divisors (241001064128160).

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

68068304640000 is an frugal number, since it uses more digits than its factorization.

68068304640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 68068304640000 in words is "sixty-eight trillion, sixty-eight billion, three hundred four million, six hundred forty thousand".