68076993600 has 1260 divisors, whose sum is σ = 309653238960. Its totient is φ = 14066841600.

The previous prime is 68076993583. The next prime is 68076993613. The reversal of 68076993600 is 639967086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×68076993600² (a number of 22 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 380318311 + ... + 380318489.

Almost surely, 2^68076993600 is an apocalyptic number.

68076993600 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 68076993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154826619480).

68076993600 is an abundant number, since it is smaller than the sum of its proper divisors (241576245360).

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

68076993600 is a wasteful number, since it uses less digits than its factorization.

68076993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 68076993600 in words is "sixty-eight billion, seventy-six million, nine hundred ninety-three thousand, six hundred".