68009735680 has 160 divisors (see below), whose sum is σ = 170018966304. Its totient is φ = 26067664896.

The previous prime is 68009735659. The next prime is 68009735699. The reversal of 68009735680 is 8653790086.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5828412 + ... + 5840068.

Almost surely, 2^68009735680 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 68009735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85009483152).

68009735680 is an abundant number, since it is smaller than the sum of its proper divisors (102009230624).

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

68009735680 is a wasteful number, since it uses less digits than its factorization.

68009735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11776 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 68009735680 in words is "sixty-eight billion, nine million, seven hundred thirty-five thousand, six hundred eighty".