68736729600 has 2160 divisors, whose sum is σ = 331622587296. Its totient is φ = 13934592000.

The previous prime is 68736729599. The next prime is 68736729673. The reversal of 68736729600 is 692763786.

68736729600 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 6 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×68736729600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1676505580 + ... + 1676505620.

Almost surely, 2^68736729600 is an apocalyptic number.

68736729600 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 68736729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165811293648).

68736729600 is an abundant number, since it is smaller than the sum of its proper divisors (262885857696).

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

68736729600 is a wasteful number, since it uses less digits than its factorization.

68736729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 68736729600 in words is "sixty-eight billion, seven hundred thirty-six million, seven hundred twenty-nine thousand, six hundred".