68692104324900 has 729 divisors, whose sum is σ = 255031958197107. Its totient is φ = 15419788473600.

The previous prime is 68692104324863. The next prime is 68692104324947. The reversal of 68692104324900 is 942340129686.

The square root of 68692104324900 is 8288070.

It is a perfect power (a square), and thus also a powerful number.

68692104324900 is a `hidden beast` number, since 6 + 86 + 92 + 1 + 0 + 432 + 49 + 0 + 0 = 666.

68692104324900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31640827500324 + 37051276824576 = 5625018^2 + 6086976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 106170176377 + ... + 106170177023.

Almost surely, 2^{68692104324900} is an apocalyptic number.

68692104324900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68692104324900 is the 8288070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68692104324900

68692104324900 is an abundant number, since it is smaller than the sum of its proper divisors (186339853872207).

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

68692104324900 is a wasteful number, since it uses less digits than its factorization.

68692104324900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 68692104324900 in words is "sixty-eight trillion, six hundred ninety-two billion, one hundred four million, three hundred twenty-four thousand, nine hundred".