68193734400 has 648 divisors, whose sum is σ = 272266490496. Its totient is φ = 16140902400.

The previous prime is 68193734381. The next prime is 68193734437. The reversal of 68193734400 is 443739186.

It is a super-2 number, since 2×68193734400² (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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27243549 + ... + 27246051.

Almost surely, 2^68193734400 is an apocalyptic number.

68193734400 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 68193734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136133245248).

68193734400 is an abundant number, since it is smaller than the sum of its proper divisors (204072756096).

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

68193734400 is a wasteful number, since it uses less digits than its factorization.

68193734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 68193734400 in words is "sixty-eight billion, one hundred ninety-three million, seven hundred thirty-four thousand, four hundred".