68442506496 has 1440 divisors, whose sum is σ = 279218903040. Its totient is φ = 16160145408.

The previous prime is 68442506437. The next prime is 68442506533. The reversal of 68442506496 is 69460524486.

68442506496 is a `hidden beast` number, since 6 + 8 + 4 + 42 + 506 + 4 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 824608471 + ... + 824608553.

It is an arithmetic number, because the mean of its divisors is an integer number (193902016).

Almost surely, 2^68442506496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68442506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139609451520).

68442506496 is an abundant number, since it is smaller than the sum of its proper divisors (210776396544).

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

68442506496 is a wasteful number, since it uses less digits than its factorization.

68442506496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 68442506496 in words is "sixty-eight billion, four hundred forty-two million, five hundred six thousand, four hundred ninety-six".