6552664781184 has 768 divisors, whose sum is σ = 20937055426560. Its totient is φ = 2036341555200.

The previous prime is 6552664781147. The next prime is 6552664781197. The reversal of 6552664781184 is 4811874662556.

6552664781184 is a `hidden beast` number, since 6 + 55 + 26 + 6 + 478 + 11 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3281253274 + ... + 3281255270.

It is an arithmetic number, because the mean of its divisors is an integer number (27261790920).

Almost surely, 2^{6552664781184} is an apocalyptic number.

6552664781184 is a gapful number since it is divisible by the number (64) 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 6552664781184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468527713280).

6552664781184 is an abundant number, since it is smaller than the sum of its proper divisors (14384390645376).

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

6552664781184 is a wasteful number, since it uses less digits than its factorization.

6552664781184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2157 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 6552664781184 in words is "six trillion, five hundred fifty-two billion, six hundred sixty-four million, seven hundred eighty-one thousand, one hundred eighty-four".