667044625984 has 63 divisors (see below), whose sum is σ = 1455096190513. Its totient is φ = 303169433600.

The previous prime is 667044625859. The next prime is 667044625987. The reversal of 667044625984 is 489526440766.

It is a happy number.

The square root of 667044625984 is 816728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 595477675584 + 71566950400 = 771672^2 + 267520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (667044625987) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71867424 + ... + 71876704.

Almost surely, 2^667044625984 is an apocalyptic number.

667044625984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

667044625984 is the 816728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667044625984

667044625984 is an abundant number, since it is smaller than the sum of its proper divisors (788051564529).

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

667044625984 is an frugal number, since it uses more digits than its factorization.

667044625984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18596 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 667044625984 in words is "six hundred sixty-seven billion, forty-four million, six hundred twenty-five thousand, nine hundred eighty-four".