67764384 has 96 divisors (see below), whose sum is σ = 199765440. Its totient is φ = 22346496.

The previous prime is 67764379. The next prime is 67764401. The reversal of 67764384 is 48346776.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92082 + ... + 92814.

It is an arithmetic number, because the mean of its divisors is an integer number (2080890).

Almost surely, 2^67764384 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 67764384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99882720).

67764384 is an abundant number, since it is smaller than the sum of its proper divisors (132001056).

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

67764384 is a wasteful number, since it uses less digits than its factorization.

67764384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 67764384 is about 8231.9125359785. The cubic root of 67764384 is about 407.6935414957.

The spelling of 67764384 in words is "sixty-seven million, seven hundred sixty-four thousand, three hundred eighty-four".