6552806400 has 792 divisors, whose sum is σ = 28509960960. Its totient is φ = 1403781120.

The previous prime is 6552806399. The next prime is 6552806401. The reversal of 6552806400 is 46082556.

6552806400 is a `hidden beast` number, since 6 + 5 + 5 + 2 + 8 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6552806399) and next prime (6552806401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552806401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27417481 + ... + 27417719.

Almost surely, 2^6552806400 is an apocalyptic number.

6552806400 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 6552806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14254980480).

6552806400 is an abundant number, since it is smaller than the sum of its proper divisors (21957154560).

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

6552806400 is a wasteful number, since it uses less digits than its factorization.

6552806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6552806400 is about 80949.4064215421. The cubic root of 6552806400 is about 1871.2958122821.

Adding to 6552806400 its reverse (46082556), we get a palindrome (6598888956).

The spelling of 6552806400 in words is "six billion, five hundred fifty-two million, eight hundred six thousand, four hundred".