68158807200 has 1728 divisors, whose sum is σ = 303244591104. Its totient is φ = 14192640000.

The previous prime is 68158807193. The next prime is 68158807201. The reversal of 68158807200 is 270885186.

68158807200 is a `hidden beast` number, since 68 + 1 + 588 + 0 + 7 + 2 + 0 + 0 = 666.

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 (68158807201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 959983165 + ... + 959983235.

It is an arithmetic number, because the mean of its divisors is an integer number (175488768).

Almost surely, 2^68158807200 is an apocalyptic number.

68158807200 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 68158807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151622295552).

68158807200 is an abundant number, since it is smaller than the sum of its proper divisors (235085783904).

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

68158807200 is a wasteful number, since it uses less digits than its factorization.

68158807200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 68158807200 in words is "sixty-eight billion, one hundred fifty-eight million, eight hundred seven thousand, two hundred".