68036431680 has 448 divisors, whose sum is σ = 290445626880. Its totient is φ = 14636187648.

The previous prime is 68036431669. The next prime is 68036431733. The reversal of 68036431680 is 8613463086.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995074 + ... + 1061246.

Almost surely, 2^68036431680 is an apocalyptic number.

68036431680 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 68036431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145222813440).

68036431680 is an abundant number, since it is smaller than the sum of its proper divisors (222409195200).

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

68036431680 is a wasteful number, since it uses less digits than its factorization.

68036431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66223 (or 66207 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 68036431680 in words is "sixty-eight billion, thirty-six million, four hundred thirty-one thousand, six hundred eighty".