68484207355200 has 4536 divisors, whose sum is σ = 334348123459896. Its totient is φ = 13131959500800.

The previous prime is 68484207355199. The next prime is 68484207355247. The reversal of 68484207355200 is 255370248486.

68484207355200 is a `hidden beast` number, since 6 + 8 + 4 + 8 + 42 + 0 + 73 + 5 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9314020364544 + 59170186990656 = 3051888^2 + 7692216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 149856033372 + ... + 149856033828.

It is an arithmetic number, because the mean of its divisors is an integer number (73709903761).

Almost surely, 2^{68484207355200} is an apocalyptic number.

68484207355200 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 68484207355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167174061729948).

68484207355200 is an abundant number, since it is smaller than the sum of its proper divisors (265863916104696).

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

68484207355200 is a wasteful number, since it uses less digits than its factorization.

68484207355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 68484207355200 in words is "sixty-eight trillion, four hundred eighty-four billion, two hundred seven million, three hundred fifty-five thousand, two hundred".