663526080 has 672 divisors, whose sum is σ = 2875751424. Its totient is φ = 142331904.

The previous prime is 663526079. The next prime is 663526093. The reversal of 663526080 is 80625366.

It is a Cunningham number, because it is equal to 25759²-1.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12519334 + ... + 12519386.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2^663526080 is an apocalyptic number.

663526080 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 663526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437875712).

663526080 is an abundant number, since it is smaller than the sum of its proper divisors (2212225344).

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

663526080 is a wasteful number, since it uses less digits than its factorization.

663526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 663526080 is about 25758.9999805893. Note that the first 4 decimals coincide. The cubic root of 663526080 is about 872.2065274078.

The spelling of 663526080 in words is "six hundred sixty-three million, five hundred twenty-six thousand, eighty".