6815030400 has 288 divisors, whose sum is σ = 24619205520. Its totient is φ = 1794816000.

The previous prime is 6815030399. The next prime is 6815030401. The reversal of 6815030400 is 40305186.

It is an interprime number because it is at equal distance from previous prime (6815030399) and next prime (6815030401).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6815030401) 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 35 ways as a sum of consecutive naturals, for example, 2388975 + ... + 2391825.

Almost surely, 2^6815030400 is an apocalyptic number.

6815030400 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 6815030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12309602760).

6815030400 is an abundant number, since it is smaller than the sum of its proper divisors (17804175120).

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

6815030400 is a wasteful number, since it uses less digits than its factorization.

6815030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6815030400 is about 82553.1973941652. The cubic root of 6815030400 is about 1895.9313119377.

Adding to 6815030400 its reverse (40305186), we get a palindrome (6855335586).

The spelling of 6815030400 in words is "six billion, eight hundred fifteen million, thirty thousand, four hundred".