68186772000 has 1152 divisors, whose sum is σ = 270450835200. Its totient is φ = 16837632000.

The previous prime is 68186771999. The next prime is 68186772007. The reversal of 68186772000 is 27768186.

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

It is not an unprimeable number, because it can be changed into a prime (68186772007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1155707971 + ... + 1155708029.

It is an arithmetic number, because the mean of its divisors is an integer number (234766350).

Almost surely, 2^68186772000 is an apocalyptic number.

68186772000 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 68186772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135225417600).

68186772000 is an abundant number, since it is smaller than the sum of its proper divisors (202264063200).

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

68186772000 is a wasteful number, since it uses less digits than its factorization.

68186772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 68186772000 in words is "sixty-eight billion, one hundred eighty-six million, seven hundred seventy-two thousand".