667764384 has 96 divisors (see below), whose sum is σ = 2041200000. Its totient is φ = 187180032.

The previous prime is 667764379. The next prime is 667764389. The reversal of 667764384 is 483467766.

It is an interprime number because it is at equal distance from previous prime (667764379) and next prime (667764389).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (667764389) 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, 26242 + ... + 44990.

It is an arithmetic number, because the mean of its divisors is an integer number (21262500).

Almost surely, 2^667764384 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 667764384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020600000).

667764384 is an abundant number, since it is smaller than the sum of its proper divisors (1373435616).

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

667764384 is a wasteful number, since it uses less digits than its factorization.

667764384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18822 (or 18814 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The square root of 667764384 is about 25841.1374362662. The cubic root of 667764384 is about 874.0596740234.

The spelling of 667764384 in words is "six hundred sixty-seven million, seven hundred sixty-four thousand, three hundred eighty-four".