663607680 has 128 divisors (see below), whose sum is σ = 2226700800. Its totient is φ = 167639040.

The previous prime is 663607643. The next prime is 663607717. The reversal of 663607680 is 86706366.

It is an interprime number because it is at equal distance from previous prime (663607643) and next prime (663607717).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27385 + ... + 45575.

It is an arithmetic number, because the mean of its divisors is an integer number (17396100).

Almost surely, 2^663607680 is an apocalyptic number.

663607680 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 663607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113350400).

663607680 is an abundant number, since it is smaller than the sum of its proper divisors (1563093120).

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

663607680 is a wasteful number, since it uses less digits than its factorization.

663607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18232 (or 18220 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 663607680 is about 25760.5838443153. The cubic root of 663607680 is about 872.2422804035.

The spelling of 663607680 in words is "six hundred sixty-three million, six hundred seven thousand, six hundred eighty".