6552144730080 has 576 divisors, whose sum is σ = 24693617527488. Its totient is φ = 1634925772800.

The previous prime is 6552144730057. The next prime is 6552144730081. The reversal of 6552144730080 is 800374412556.

6552144730080 is a `hidden beast` number, since 6 + 5 + 521 + 4 + 47 + 3 + 0 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552144730081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114317430 + ... + 114374730.

It is an arithmetic number, because the mean of its divisors is an integer number (42870863763).

Almost surely, 2^{6552144730080} is an apocalyptic number.

6552144730080 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 6552144730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346808763744).

6552144730080 is an abundant number, since it is smaller than the sum of its proper divisors (18141472797408).

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

6552144730080 is a wasteful number, since it uses less digits than its factorization.

6552144730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57521 (or 57501 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 6552144730080 in words is "six trillion, five hundred fifty-two billion, one hundred forty-four million, seven hundred thirty thousand, eighty".