555981648768 has 768 divisors, whose sum is σ = 2049465600000. Its totient is φ = 140711510016.

The previous prime is 555981648767. The next prime is 555981648787. The reversal of 555981648768 is 867846189555.

555981648768 is a `hidden beast` number, since 5 + 5 + 5 + 9 + 81 + 6 + 487 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 555981648696 and 555981648705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (555981648763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604985013 + ... + 604985931.

It is an arithmetic number, because the mean of its divisors is an integer number (2668575000).

Almost surely, 2^555981648768 is an apocalyptic number.

555981648768 is a gapful number since it is divisible by the number (58) 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 555981648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024732800000).

555981648768 is an abundant number, since it is smaller than the sum of its proper divisors (1493483951232).

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

555981648768 is a wasteful number, since it uses less digits than its factorization.

555981648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1172 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 72.

The spelling of 555981648768 in words is "five hundred fifty-five billion, nine hundred eighty-one million, six hundred forty-eight thousand, seven hundred sixty-eight".