6552400000 has 96 divisors (see below), whose sum is σ = 16316963460. Its totient is φ = 2620800000.

The previous prime is 6552399977. The next prime is 6552400007. The reversal of 6552400000 is 42556.

It can be written as a sum of positive squares in 6 ways, for example, as 2991652416 + 3560747584 = 54696^2 + 59672^2 .

It is not an unprimeable number, because it can be changed into a prime (6552400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391810 + ... + 408190.

Almost surely, 2^6552400000 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 6552400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158481730).

6552400000 is an abundant number, since it is smaller than the sum of its proper divisors (9764563460).

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

6552400000 is an frugal number, since it uses more digits than its factorization.

6552400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16420 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 6552400000 is about 80946.8961727378. The cubic root of 6552400000 is about 1871.2571260412.

Adding to 6552400000 its reverse (42556), we get a palindrome (6552442556).

The spelling of 6552400000 in words is "six billion, five hundred fifty-two million, four hundred thousand".