663007664 has 80 divisors (see below), whose sum is σ = 1458763776. Its totient is φ = 289190400.

The previous prime is 663007663. The next prime is 663007693. The reversal of 663007664 is 466700366.

It is a super-3 number, since 3×663007664³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (663007663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747029 + ... + 747915.

Almost surely, 2^663007664 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 663007664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729381888).

663007664 is an abundant number, since it is smaller than the sum of its proper divisors (795756112).

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

663007664 is a wasteful number, since it uses less digits than its factorization.

663007664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 663007664 is about 25748.9352012855. The cubic root of 663007664 is about 871.9793152235.

The spelling of 663007664 in words is "six hundred sixty-three million, seven thousand, six hundred sixty-four".