663386982128640 has 3168 divisors, whose sum is σ = 3094967787724800. Its totient is φ = 129551573975040.

The previous prime is 663386982128639. The next prime is 663386982128699. The reversal of 663386982128640 is 46821289683366.

663386982128640 is a `hidden beast` number, since 6 + 6 + 3 + 386 + 9 + 82 + 128 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59931965026 + ... + 59931976094.

Almost surely, 2^{663386982128640} is an apocalyptic number.

663386982128640 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 663386982128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547483893862400).

663386982128640 is an abundant number, since it is smaller than the sum of its proper divisors (2431580805596160).

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

663386982128640 is a wasteful number, since it uses less digits than its factorization.

663386982128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11271 (or 11243 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 663386982128640 in words is "six hundred sixty-three trillion, three hundred eighty-six billion, nine hundred eighty-two million, one hundred twenty-eight thousand, six hundred forty".