68180814720 has 512 divisors, whose sum is σ = 263960985600. Its totient is φ = 16557834240.

The previous prime is 68180814701. The next prime is 68180814721. The reversal of 68180814720 is 2741808186.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68180814721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9102817 + ... + 9110303.

It is an arithmetic number, because the mean of its divisors is an integer number (515548800).

Almost surely, 2^68180814720 is an apocalyptic number.

68180814720 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 68180814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131980492800).

68180814720 is an abundant number, since it is smaller than the sum of its proper divisors (195780170880).

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

68180814720 is a wasteful number, since it uses less digits than its factorization.

68180814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 68180814720 in words is "sixty-eight billion, one hundred eighty million, eight hundred fourteen thousand, seven hundred twenty".