667867464 has 256 divisors, whose sum is σ = 2127513600. Its totient is φ = 192326400.

The previous prime is 667867411. The next prime is 667867493. The reversal of 667867464 is 464768766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 667867464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6241699 + ... + 6241805.

It is an arithmetic number, because the mean of its divisors is an integer number (8310600).

Almost surely, 2^667867464 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 667867464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063756800).

667867464 is an abundant number, since it is smaller than the sum of its proper divisors (1459646136).

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

667867464 is a wasteful number, since it uses less digits than its factorization.

667867464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 667867464 is about 25843.1318535506. The cubic root of 667867464 is about 874.1046466903.

The spelling of 667867464 in words is "six hundred sixty-seven million, eight hundred sixty-seven thousand, four hundred sixty-four".