663976080 has 120 divisors (see below), whose sum is σ = 2234609208. Its totient is φ = 176683008.

The previous prime is 663976057. The next prime is 663976087. The reversal of 663976080 is 80679366.

663976080 is a `hidden beast` number, since 6 + 6 + 39 + 7 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 661312656 = 1632^2 + 25716^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (663976087) 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, 555964 + ... + 557156.

Almost surely, 2^663976080 is an apocalyptic number.

663976080 is a gapful number since it is divisible by the number (60) 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 663976080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117304604).

663976080 is an abundant number, since it is smaller than the sum of its proper divisors (1570633128).

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

663976080 is a wasteful number, since it uses less digits than its factorization.

663976080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 663976080 is about 25767.7333112558. The cubic root of 663976080 is about 872.4036581882.

The spelling of 663976080 in words is "six hundred sixty-three million, nine hundred seventy-six thousand, eighty".