68166126720 has 1536 divisors, whose sum is σ = 288707328000. Its totient is φ = 15240462336.

The previous prime is 68166126719. The next prime is 68166126727. The reversal of 68166126720 is 2762166186.

68166126720 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 612 + 6 + 7 + 20 = 666.

It is a super-3 number, since 3×68166126720³ (a number of 33 digits) contains 333 as substring.

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 (68166126727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1155358051 + ... + 1155358109.

It is an arithmetic number, because the mean of its divisors is an integer number (187960500).

Almost surely, 2^68166126720 is an apocalyptic number.

68166126720 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 68166126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664000).

68166126720 is an abundant number, since it is smaller than the sum of its proper divisors (220541201280).

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

68166126720 is a wasteful number, since it uses less digits than its factorization.

68166126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 68166126720 in words is "sixty-eight billion, one hundred sixty-six million, one hundred twenty-six thousand, seven hundred twenty".