68323357440 has 864 divisors, whose sum is σ = 269301055296. Its totient is φ = 16482631680.

The previous prime is 68323357367. The next prime is 68323357451. The reversal of 68323357440 is 4475332386.

68323357440 is a `hidden beast` number, since 6 + 8 + 3 + 2 + 33 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 246654582 + ... + 246654858.

Almost surely, 2^68323357440 is an apocalyptic number.

68323357440 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 68323357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134650527648).

68323357440 is an abundant number, since it is smaller than the sum of its proper divisors (200977697856).

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

68323357440 is a wasteful number, since it uses less digits than its factorization.

68323357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 68323357440 in words is "sixty-eight billion, three hundred twenty-three million, three hundred fifty-seven thousand, four hundred forty".