6550026768000 has 1280 divisors, whose sum is σ = 25587350474400. Its totient is φ = 1658216448000.

The previous prime is 6550026767989. The next prime is 6550026768017. The reversal of 6550026768000 is 8676200556.

6550026768000 is a `hidden beast` number, since 6 + 5 + 500 + 2 + 67 + 6 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1059927902784 + 5490098865216 = 1029528^2 + 2343096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2292622572 + ... + 2292625428.

Almost surely, 2^{6550026768000} is an apocalyptic number.

6550026768000 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 6550026768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12793675237200).

6550026768000 is an abundant number, since it is smaller than the sum of its proper divisors (19037323706400).

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

6550026768000 is a wasteful number, since it uses less digits than its factorization.

6550026768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 6550026768000 in words is "six trillion, five hundred fifty billion, twenty-six million, seven hundred sixty-eight thousand".