663395040 has 576 divisors, whose sum is σ = 2928586752. Its totient is φ = 132710400.

The previous prime is 663395017. The next prime is 663395077. The reversal of 663395040 is 40593366.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 663394986 and 663395004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3437184 + ... + 3437376.

It is an arithmetic number, because the mean of its divisors is an integer number (5084352).

Almost surely, 2^663395040 is an apocalyptic number.

663395040 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 663395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464293376).

663395040 is an abundant number, since it is smaller than the sum of its proper divisors (2265191712).

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

663395040 is a wasteful number, since it uses less digits than its factorization.

663395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 663395040 is about 25756.4562779898. The cubic root of 663395040 is about 872.1491061692.

The spelling of 663395040 in words is "six hundred sixty-three million, three hundred ninety-five thousand, forty".