550760715648 has 1280 divisors, whose sum is σ = 2019877896960. Its totient is φ = 146731253760.

The previous prime is 550760715563. The next prime is 550760715671. The reversal of 550760715648 is 846517067055.

It is a happy number.

550760715648 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 6 + 0 + 71 + 564 + 8 = 666.

It is a super-3 number, since 3×550760715648³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 550760715594 and 550760715603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3378900015 + ... + 3378900177.

It is an arithmetic number, because the mean of its divisors is an integer number (1578029607).

Almost surely, 2^550760715648 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 550760715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009938948480).

550760715648 is an abundant number, since it is smaller than the sum of its proper divisors (1469117181312).

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

550760715648 is a wasteful number, since it uses less digits than its factorization.

550760715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

It can be divided in two parts, 5507607 and 15648, that added together give a palindrome (5523255).

The spelling of 550760715648 in words is "five hundred fifty billion, seven hundred sixty million, seven hundred fifteen thousand, six hundred forty-eight".