6819528672 has 288 divisors, whose sum is σ = 22316321664. Its totient is φ = 2031091200.

The previous prime is 6819528641. The next prime is 6819528689. The reversal of 6819528672 is 2768259186.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5217043 + ... + 5218349.

It is an arithmetic number, because the mean of its divisors is an integer number (77487228).

Almost surely, 2^6819528672 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 6819528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11158160832).

6819528672 is an abundant number, since it is smaller than the sum of its proper divisors (15496792992).

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

6819528672 is a wasteful number, since it uses less digits than its factorization.

6819528672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1384 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 6819528672 is about 82580.4375866343. The cubic root of 6819528672 is about 1896.3483577186.

The spelling of 6819528672 in words is "six billion, eight hundred nineteen million, five hundred twenty-eight thousand, six hundred seventy-two".