68079001000000 has 441 divisors, whose sum is σ = 174334714131627. Its totient is φ = 26376796800000.

The previous prime is 68079000999967. The next prime is 68079001000019. The reversal of 68079001000000 is 10097086.

The square root of 68079001000000 is 8251000.

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

68079001000000 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 10 ways, for example, as 68020134594624 + 58866405376 = 8247432^2 + 242624^2 .

It is a Duffinian number.

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 62 ways as a sum of consecutive naturals, for example, 305286999889 + ... + 305287000111.

Almost surely, 2^{68079001000000} is an apocalyptic number.

68079001000000 is the 8251000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68079001000000

68079001000000 is an abundant number, since it is smaller than the sum of its proper divisors (106255713131627).

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

68079001000000 is an frugal number, since it uses more digits than its factorization.

68079001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

Adding to 68079001000000 its reverse (10097086), we get a palindrome (68079011097086).

The spelling of 68079001000000 in words is "sixty-eight trillion, seventy-nine billion, one million", and thus it is an aban number and an uban number.