6821325900 has 252 divisors, whose sum is σ = 22387988952. Its totient is φ = 1803098880.

The previous prime is 6821325853. The next prime is 6821325911. The reversal of 6821325900 is 95231286.

6821325900 is a `hidden beast` number, since 68 + 2 + 1 + 3 + 2 + 590 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9986959 + ... + 9987641.

It is an arithmetic number, because the mean of its divisors is an integer number (88841226).

Almost surely, 2^6821325900 is an apocalyptic number.

6821325900 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 6821325900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193994476).

6821325900 is an abundant number, since it is smaller than the sum of its proper divisors (15566663052).

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

6821325900 is a wasteful number, since it uses less digits than its factorization.

6821325900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6821325900 is about 82591.3185510439. The cubic root of 6821325900 is about 1896.5149318410.

The spelling of 6821325900 in words is "six billion, eight hundred twenty-one million, three hundred twenty-five thousand, nine hundred".