550726632382464 has 1120 divisors, whose sum is σ = 1892925057830400. Its totient is φ = 158401434746880.

The previous prime is 550726632382463. The next prime is 550726632382529. The reversal of 550726632382464 is 464283236627055.

550726632382464 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 2 + 66 + 32 + 3 + 82 + 464 = 666.

It is a super-2 number, since 2×550726632382464² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (550726632382463) 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 79 ways as a sum of consecutive naturals, for example, 6644104732 + ... + 6644187620.

Almost surely, 2^{550726632382464} is an apocalyptic number.

550726632382464 is a gapful number since it is divisible by the number (54) 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 550726632382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946462528915200).

550726632382464 is an abundant number, since it is smaller than the sum of its proper divisors (1342198425447936).

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

550726632382464 is a wasteful number, since it uses less digits than its factorization.

550726632382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82994 (or 82961 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 63.

The spelling of 550726632382464 in words is "five hundred fifty trillion, seven hundred twenty-six billion, six hundred thirty-two million, three hundred eighty-two thousand, four hundred sixty-four".