663957181440 has 792 divisors, whose sum is σ = 2775574986912. Its totient is φ = 151747706880.

The previous prime is 663957181439. The next prime is 663957181441. The reversal of 663957181440 is 44181759366.

663957181440 is a `hidden beast` number, since 6 + 63 + 9 + 571 + 8 + 1 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (663957181439) and next prime (663957181441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663957181441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60958395 + ... + 60969285.

Almost surely, 2^663957181440 is an apocalyptic number.

663957181440 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 663957181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387787493456).

663957181440 is an abundant number, since it is smaller than the sum of its proper divisors (2111617805472).

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

663957181440 is a wasteful number, since it uses less digits than its factorization.

663957181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10945 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 663957181440 in words is "six hundred sixty-three billion, nine hundred fifty-seven million, one hundred eighty-one thousand, four hundred forty".