68745366144 has 640 divisors, whose sum is σ = 257108544000. Its totient is φ = 18118453248.

The previous prime is 68745366121. The next prime is 68745366163. The reversal of 68745366144 is 44166354786.

68745366144 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 536 + 61 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11612160) is a multiple of the sum of its prime divisors (1512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46230169 + ... + 46231655.

It is an arithmetic number, because the mean of its divisors is an integer number (401732100).

Almost surely, 2^68745366144 is an apocalyptic number.

68745366144 is a gapful number since it is divisible by the number (64) 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 68745366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128554272000).

68745366144 is an abundant number, since it is smaller than the sum of its proper divisors (188363177856).

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

68745366144 is a wasteful number, since it uses less digits than its factorization.

68745366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1512 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 68745366144 in words is "sixty-eight billion, seven hundred forty-five million, three hundred sixty-six thousand, one hundred forty-four".