6534905400 has 432 divisors, whose sum is σ = 24279428160. Its totient is φ = 1568102400.

The previous prime is 6534905393. The next prime is 6534905401. The reversal of 6534905400 is 45094356.

It is a happy number.

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 (6534905401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 78733759 + ... + 78733841.

It is an arithmetic number, because the mean of its divisors is an integer number (56202380).

Almost surely, 2^6534905400 is an apocalyptic number.

6534905400 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 6534905400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139714080).

6534905400 is an abundant number, since it is smaller than the sum of its proper divisors (17744522760).

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

6534905400 is a wasteful number, since it uses less digits than its factorization.

6534905400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6534905400 is about 80838.7617421247. The cubic root of 6534905400 is about 1869.5902521459.

Adding to 6534905400 its reverse (45094356), we get a palindrome (6579999756).

The spelling of 6534905400 in words is "six billion, five hundred thirty-four million, nine hundred five thousand, four hundred".