68287705200 has 1080 divisors, whose sum is σ = 290309335680. Its totient is φ = 14750208000.

The previous prime is 68287705183. The next prime is 68287705219. The reversal of 68287705200 is 250778286.

68287705200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 175546606 + ... + 175546994.

Almost surely, 2^68287705200 is an apocalyptic number.

68287705200 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 68287705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145154667840).

68287705200 is an abundant number, since it is smaller than the sum of its proper divisors (222021630480).

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

68287705200 is a wasteful number, since it uses less digits than its factorization.

68287705200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 68287705200 in words is "sixty-eight billion, two hundred eighty-seven million, seven hundred five thousand, two hundred".