68666137344 has 288 divisors, whose sum is σ = 232686343680. Its totient is φ = 19566489600.

The previous prime is 68666137339. The next prime is 68666137349. The reversal of 68666137344 is 44373166686.

68666137344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (68666137339) and next prime (68666137349).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68666137349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20367979 + ... + 20371349.

Almost surely, 2^68666137344 is an apocalyptic number.

68666137344 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 68666137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116343171840).

68666137344 is an abundant number, since it is smaller than the sum of its proper divisors (164020206336).

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

68666137344 is a wasteful number, since it uses less digits than its factorization.

68666137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3804 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 68666137344 in words is "sixty-eight billion, six hundred sixty-six million, one hundred thirty-seven thousand, three hundred forty-four".