6552768456 has 160 divisors (see below), whose sum is σ = 20928794040. Its totient is φ = 1897592832.

The previous prime is 6552768451. The next prime is 6552768491. The reversal of 6552768456 is 6548672556.

6552768456 is a `hidden beast` number, since 6 + 5 + 527 + 68 + 4 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4404445956 + 2148322500 = 66366^2 + 46350^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6552768451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120330 + ... + 166086.

Almost surely, 2^6552768456 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 6552768456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10464397020).

6552768456 is an abundant number, since it is smaller than the sum of its proper divisors (14376025584).

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

6552768456 is a wasteful number, since it uses less digits than its factorization.

6552768456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45805 (or 45792 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 6552768456 is about 80949.1720525911. The cubic root of 6552768456 is about 1871.2922003648.

The spelling of 6552768456 in words is "six billion, five hundred fifty-two million, seven hundred sixty-eight thousand, four hundred fifty-six".