68360284800 has 384 divisors, whose sum is σ = 258816024000. Its totient is φ = 17600163840.

The previous prime is 68360284747. The next prime is 68360284801. The reversal of 68360284800 is 848206386.

It is a happy number.

68360284800 is a `hidden beast` number, since 6 + 8 + 360 + 284 + 8 + 0 + 0 = 666.

68360284800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×68360284800² (a number of 22 digits) contains 22 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 (68360284801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491959 + ... + 2519241.

Almost surely, 2^68360284800 is an apocalyptic number.

68360284800 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 68360284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129408012000).

68360284800 is an abundant number, since it is smaller than the sum of its proper divisors (190455739200).

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

68360284800 is a wasteful number, since it uses less digits than its factorization.

68360284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27345 (or 27322 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 68360284800 in words is "sixty-eight billion, three hundred sixty million, two hundred eighty-four thousand, eight hundred".