663742080 has 256 divisors, whose sum is σ = 2388268800. Its totient is φ = 174182400.

The previous prime is 663742063. The next prime is 663742103. The reversal of 663742080 is 80247366.

663742080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226610 + ... + 1227150.

It is an arithmetic number, because the mean of its divisors is an integer number (9329175).

Almost surely, 2^663742080 is an apocalyptic number.

663742080 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 663742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194134400).

663742080 is an abundant number, since it is smaller than the sum of its proper divisors (1724526720).

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

663742080 is a wasteful number, since it uses less digits than its factorization.

663742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 663742080 is about 25763.1923487754. The cubic root of 663742080 is about 872.3011613020.

The spelling of 663742080 in words is "six hundred sixty-three million, seven hundred forty-two thousand, eighty".