67736564 has 48 divisors (see below), whose sum is σ = 142829568. Its totient is φ = 27480288.

The previous prime is 67736561. The next prime is 67736569. The reversal of 67736564 is 46563776.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67736561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68417 + ... + 69399.

It is an arithmetic number, because the mean of its divisors is an integer number (2975616).

Almost surely, 2^67736564 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 67736564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71414784).

67736564 is an abundant number, since it is smaller than the sum of its proper divisors (75093004).

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

67736564 is a wasteful number, since it uses less digits than its factorization.

67736564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1122 counting only the distinct ones).

The product of its digits is 635040, while the sum is 44.

The square root of 67736564 is about 8230.2225972327. Note that the first 3 decimals coincide. The cubic root of 67736564 is about 407.6377423372.

The spelling of 67736564 in words is "sixty-seven million, seven hundred thirty-six thousand, five hundred sixty-four".