68205099600 has 480 divisors, whose sum is σ = 265697280000. Its totient is φ = 16480396800.

The previous prime is 68205099569. The next prime is 68205099617. The reversal of 68205099600 is 699050286.

68205099600 is a `hidden beast` number, since 6 + 82 + 0 + 509 + 9 + 60 + 0 = 666.

It is a super-2 number, since 2×68205099600² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45499651 + ... + 45501149.

It is an arithmetic number, because the mean of its divisors is an integer number (553536000).

Almost surely, 2^68205099600 is an apocalyptic number.

68205099600 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 68205099600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640000).

68205099600 is an abundant number, since it is smaller than the sum of its proper divisors (197492180400).

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

68205099600 is a wasteful number, since it uses less digits than its factorization.

68205099600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 68205099600 in words is "sixty-eight billion, two hundred five million, ninety-nine thousand, six hundred".