68273508925440 has 3360 divisors, whose sum is σ = 320575509354240. Its totient is φ = 13539263643648.

The previous prime is 68273508925439. The next prime is 68273508925441. The reversal of 68273508925440 is 4452980537286.

68273508925440 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 3 + 5 + 0 + 89 + 2 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (68273508925439) and next prime (68273508925441).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×68273508925440² (a number of 28 digits) contains 22 as substring.

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 (68273508925441) 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 223 ways as a sum of consecutive naturals, for example, 92386344591 + ... + 92386345329.

It is an arithmetic number, because the mean of its divisors is an integer number (95409377784).

Almost surely, 2^{68273508925440} is an apocalyptic number.

68273508925440 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 68273508925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160287754677120).

68273508925440 is an abundant number, since it is smaller than the sum of its proper divisors (252302000428800).

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

68273508925440 is an equidigital number, since it uses as much as digits as its factorization.

68273508925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 68273508925440 in words is "sixty-eight trillion, two hundred seventy-three billion, five hundred eight million, nine hundred twenty-five thousand, four hundred forty".