68262318432 has 1440 divisors, whose sum is σ = 280311736320. Its totient is φ = 15875481600.

The previous prime is 68262318431. The next prime is 68262318473. The reversal of 68262318432 is 23481326286.

68262318432 is a `hidden beast` number, since 6 + 8 + 2 + 623 + 18 + 4 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68262318431) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1156988419 + ... + 1156988477.

It is an arithmetic number, because the mean of its divisors is an integer number (194660928).

Almost surely, 2^68262318432 is an apocalyptic number.

68262318432 is a gapful number since it is divisible by the number (62) 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 68262318432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140155868160).

68262318432 is an abundant number, since it is smaller than the sum of its proper divisors (212049417888).

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

68262318432 is a wasteful number, since it uses less digits than its factorization.

68262318432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 68262318432 in words is "sixty-eight billion, two hundred sixty-two million, three hundred eighteen thousand, four hundred thirty-two".