6821433504 has 144 divisors (see below), whose sum is σ = 20473689600. Its totient is φ = 2148415488.

The previous prime is 6821433491. The next prime is 6821433511. The reversal of 6821433504 is 4053341286.

6821433504 is a `hidden beast` number, since 6 + 8 + 2 + 143 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 2367937 + ... + 2370815.

It is an arithmetic number, because the mean of its divisors is an integer number (142178400).

Almost surely, 2^6821433504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6821433504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10236844800).

6821433504 is an abundant number, since it is smaller than the sum of its proper divisors (13652256096).

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

6821433504 is a wasteful number, since it uses less digits than its factorization.

6821433504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6821433504 is about 82591.9699728733. The cubic root of 6821433504 is about 1896.5249040723.

The spelling of 6821433504 in words is "six billion, eight hundred twenty-one million, four hundred thirty-three thousand, five hundred four".