663128393760 has 768 divisors, whose sum is σ = 2695089438720. Its totient is φ = 149154877440.

The previous prime is 663128393747. The next prime is 663128393797. The reversal of 663128393760 is 67393821366.

663128393760 is a `hidden beast` number, since 6 + 63 + 128 + 393 + 76 + 0 = 666.

It is a super-2 number, since 2×663128393760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 663128393697 and 663128393706.

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 127 ways as a sum of consecutive naturals, for example, 1081775214 + ... + 1081775826.

It is an arithmetic number, because the mean of its divisors is an integer number (3509231040).

Almost surely, 2^663128393760 is an apocalyptic number.

663128393760 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 663128393760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347544719360).

663128393760 is an abundant number, since it is smaller than the sum of its proper divisors (2031961044960).

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

663128393760 is a wasteful number, since it uses less digits than its factorization.

663128393760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 663128393760 in words is "six hundred sixty-three billion, one hundred twenty-eight million, three hundred ninety-three thousand, seven hundred sixty".