667384704 has 256 divisors, whose sum is σ = 2301120000. Its totient is φ = 190342656.

The previous prime is 667384693. The next prime is 667384741. The reversal of 667384704 is 407483766.

It is a self number, because there is not a number n which added to its sum of digits gives 667384704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185127 + ... + 1185689.

It is an arithmetic number, because the mean of its divisors is an integer number (8988750).

Almost surely, 2^667384704 is an apocalyptic number.

667384704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150560000).

667384704 is an abundant number, since it is smaller than the sum of its proper divisors (1633735296).

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

667384704 is an equidigital number, since it uses as much as digits as its factorization.

667384704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 575 counting only the distinct ones).

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

The square root of 667384704 is about 25833.7899658567. The cubic root of 667384704 is about 873.8939838977.

The spelling of 667384704 in words is "six hundred sixty-seven million, three hundred eighty-four thousand, seven hundred four".