6820495200 has 432 divisors, whose sum is σ = 25760288736. Its totient is φ = 1692057600.

The previous prime is 6820495177. The next prime is 6820495247. The reversal of 6820495200 is 25940286.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12606930 + ... + 12607470.

It is an arithmetic number, because the mean of its divisors is an integer number (59630298).

Almost surely, 2^6820495200 is an apocalyptic number.

6820495200 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 6820495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880144368).

6820495200 is an abundant number, since it is smaller than the sum of its proper divisors (18939793536).

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

6820495200 is a wasteful number, since it uses less digits than its factorization.

6820495200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6820495200 is about 82586.2894190071. The cubic root of 6820495200 is about 1896.4379429519.

The spelling of 6820495200 in words is "six billion, eight hundred twenty million, four hundred ninety-five thousand, two hundred".