550575807768 has 512 divisors, whose sum is σ = 1844232192000. Its totient is φ = 148886760960.

The previous prime is 550575807763. The next prime is 550575807773. The reversal of 550575807768 is 867708575055.

550575807768 is a `hidden beast` number, since 5 + 50 + 575 + 8 + 0 + 7 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (550575807763) and next prime (550575807773).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550575807763) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 727312446 + ... + 727313202.

It is an arithmetic number, because the mean of its divisors is an integer number (3602016000).

Almost surely, 2^550575807768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550575807768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922116096000).

550575807768 is an abundant number, since it is smaller than the sum of its proper divisors (1293656384232).

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

550575807768 is a wasteful number, since it uses less digits than its factorization.

550575807768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 82320000, while the sum is 63.

The spelling of 550575807768 in words is "five hundred fifty billion, five hundred seventy-five million, eight hundred seven thousand, seven hundred sixty-eight".