6802444800 has 390 divisors, whose sum is σ = 25280366793. Its totient is φ = 1813985280.

The previous prime is 6802444799. The next prime is 6802444801. The reversal of 6802444800 is 84442086.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (6802444799) and next prime (6802444801).

It can be written as a sum of positive squares in 2 ways, for example, as 6666395904 + 136048896 = 81648^2 + 11664^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=58320.

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

It is not an unprimeable number, because it can be changed into a prime (6802444801) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 1360488958 + ... + 1360488962.

Almost surely, 2^6802444800 is an apocalyptic number.

6802444800 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 6802444800

6802444800 is an abundant number, since it is smaller than the sum of its proper divisors (18477921993).

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

6802444800 is an frugal number, since it uses more digits than its factorization.

6802444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 6802444800 is about 82476.9349575989. The cubic root of 6802444800 is about 1894.7634943619.

Adding to 6802444800 its reverse (84442086), we get a palindrome (6886886886).

The spelling of 6802444800 in words is "six billion, eight hundred two million, four hundred forty-four thousand, eight hundred".