6495820800 has 528 divisors, whose sum is σ = 25195982592. Its totient is φ = 1445068800.

The previous prime is 6495820753. The next prime is 6495820811. The reversal of 6495820800 is 80285946.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 23116660 + ... + 23116940.

It is an arithmetic number, because the mean of its divisors is an integer number (47719664).

Almost surely, 2^6495820800 is an apocalyptic number.

6495820800 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 6495820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12597991296).

6495820800 is an abundant number, since it is smaller than the sum of its proper divisors (18700161792).

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

6495820800 is a wasteful number, since it uses less digits than its factorization.

6495820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 6495820800 is about 80596.6550174385. The cubic root of 6495820800 is about 1865.8555205895.

It can be divided in two parts, 64958 and 20800, that added together give a palindrome (85758).

The spelling of 6495820800 in words is "six billion, four hundred ninety-five million, eight hundred twenty thousand, eight hundred".