667304064 has 192 divisors, whose sum is σ = 2223224640. Its totient is φ = 188172288.

The previous prime is 667304063. The next prime is 667304089. The reversal of 667304064 is 460403766.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (667304063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668814 + ... + 669810.

It is an arithmetic number, because the mean of its divisors is an integer number (11579295).

Almost surely, 2^667304064 is an apocalyptic number.

667304064 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 667304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111612320).

667304064 is an abundant number, since it is smaller than the sum of its proper divisors (1555920576).

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

667304064 is a wasteful number, since it uses less digits than its factorization.

667304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 667304064 is about 25832.2291721020. The cubic root of 667304064 is about 873.8587849842.

The spelling of 667304064 in words is "six hundred sixty-seven million, three hundred four thousand, sixty-four".