6813620400 has 240 divisors, whose sum is σ = 24327907200. Its totient is φ = 1619988480.

The previous prime is 6813620399. The next prime is 6813620521. The reversal of 6813620400 is 40263186.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378811 + ... + 396389.

It is an arithmetic number, because the mean of its divisors is an integer number (101366280).

Almost surely, 2^6813620400 is an apocalyptic number.

6813620400 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 6813620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163953600).

6813620400 is an abundant number, since it is smaller than the sum of its proper divisors (17514286800).

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

6813620400 is a wasteful number, since it uses less digits than its factorization.

6813620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17636 (or 17625 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6813620400 is about 82544.6570045572. The cubic root of 6813620400 is about 1895.8005496189.

Adding to 6813620400 its reverse (40263186), we get a palindrome (6853883586).

The spelling of 6813620400 in words is "six billion, eight hundred thirteen million, six hundred twenty thousand, four hundred".