68275788134400 has 3456 divisors, whose sum is σ = 316279311828480. Its totient is φ = 13663862784000.

The previous prime is 68275788134387. The next prime is 68275788134401. The reversal of 68275788134400 is 443188757286.

It is a happy number.

68275788134400 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 578 + 8 + 13 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68275788134401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 171979315002 + ... + 171979315398.

It is an arithmetic number, because the mean of its divisors is an integer number (91516004580).

Almost surely, 2^{68275788134400} is an apocalyptic number.

68275788134400 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 68275788134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158139655914240).

68275788134400 is an abundant number, since it is smaller than the sum of its proper divisors (248003523694080).

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

68275788134400 is a wasteful number, since it uses less digits than its factorization.

68275788134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 68275788134400 in words is "sixty-eight trillion, two hundred seventy-five billion, seven hundred eighty-eight million, one hundred thirty-four thousand, four hundred".