6530900400 has 450 divisors, whose sum is σ = 24914367060. Its totient is φ = 1633893120.

The previous prime is 6530900399. The next prime is 6530900407. The reversal of 6530900400 is 40090356.

It is a happy number.

6530900400 is a `hidden beast` number, since 6 + 530 + 90 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6530900407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 63406749 + ... + 63406851.

Almost surely, 2^6530900400 is an apocalyptic number.

6530900400 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 6530900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457183530).

6530900400 is an abundant number, since it is smaller than the sum of its proper divisors (18383466660).

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

6530900400 is a wasteful number, since it uses less digits than its factorization.

6530900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6530900400 is about 80813.9864132441. The cubic root of 6530900400 is about 1869.2082400295.

Adding to 6530900400 its reverse (40090356), we get a palindrome (6570990756).

The spelling of 6530900400 in words is "six billion, five hundred thirty million, nine hundred thousand, four hundred".