6821148672 has 240 divisors, whose sum is σ = 21948446520. Its totient is φ = 2098151424.

The previous prime is 6821148619. The next prime is 6821148673. The reversal of 6821148672 is 2768411286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6821148673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2154963 + ... + 2158125.

Almost surely, 2^6821148672 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 6821148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974223260).

6821148672 is an abundant number, since it is smaller than the sum of its proper divisors (15127297848).

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

6821148672 is a wasteful number, since it uses less digits than its factorization.

6821148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3181 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 6821148672 is about 82590.2456225915. The cubic root of 6821148672 is about 1896.4985069570.

The spelling of 6821148672 in words is "six billion, eight hundred twenty-one million, one hundred forty-eight thousand, six hundred seventy-two".