667833984 has 224 divisors, whose sum is σ = 2117119140. Its totient is φ = 209018880.

The previous prime is 667833949. The next prime is 667833997. The reversal of 667833984 is 489338766.

It can be written as a sum of positive squares in 2 ways, for example, as 638673984 + 29160000 = 25272^2 + 5400^2 .

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 667833984.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1586094 + ... + 1586514.

Almost surely, 2^667833984 is an apocalyptic number.

667833984 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 667833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058559570).

667833984 is an abundant number, since it is smaller than the sum of its proper divisors (1449285156).

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

667833984 is an equidigital number, since it uses as much as digits as its factorization.

667833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 667833984 is about 25842.4840911241. The cubic root of 667833984 is about 874.0900402430.

The spelling of 667833984 in words is "six hundred sixty-seven million, eight hundred thirty-three thousand, nine hundred eighty-four".