68736564 has 72 divisors (see below), whose sum is σ = 188332872. Its totient is φ = 21012480.

The previous prime is 68736553. The next prime is 68736571. The reversal of 68736564 is 46563786.

68736564 is a `hidden beast` number, since 6 + 87 + 3 + 6 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6200100 + 62536464 = 2490^2 + 7908^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89944 + ... + 90704.

Almost surely, 2^68736564 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 68736564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94166436).

68736564 is an abundant number, since it is smaller than the sum of its proper divisors (119596308).

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

68736564 is a wasteful number, since it uses less digits than its factorization.

68736564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 68736564 is about 8290.7517150135. The cubic root of 68736564 is about 409.6339465299.

The spelling of 68736564 in words is "sixty-eight million, seven hundred thirty-six thousand, five hundred sixty-four".