663767040 has 384 divisors, whose sum is σ = 2377589760. Its totient is φ = 157286400.

The previous prime is 663767017. The next prime is 663767053. The reversal of 663767040 is 40767366.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 663767040.

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, 16189420 + ... + 16189460.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^663767040 is an apocalyptic number.

663767040 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 663767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188794880).

663767040 is an abundant number, since it is smaller than the sum of its proper divisors (1713822720).

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

663767040 is a wasteful number, since it uses less digits than its factorization.

663767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 663767040 is about 25763.6767562396. The cubic root of 663767040 is about 872.3120954508.

The spelling of 663767040 in words is "six hundred sixty-three million, seven hundred sixty-seven thousand, forty".