6819301632 has 288 divisors, whose sum is σ = 22021042176. Its totient is φ = 1845043200.

The previous prime is 6819301627. The next prime is 6819301633. The reversal of 6819301632 is 2361039186.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6819301633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3403543 + ... + 3405545.

It is an arithmetic number, because the mean of its divisors is an integer number (76461952).

Almost surely, 2^6819301632 is an apocalyptic number.

6819301632 is a gapful number since it is divisible by the number (62) 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 6819301632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11010521088).

6819301632 is an abundant number, since it is smaller than the sum of its proper divisors (15201740544).

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

6819301632 is a wasteful number, since it uses less digits than its factorization.

6819301632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 6819301632 is about 82579.0629154872. The cubic root of 6819301632 is about 1896.3273126811.

The spelling of 6819301632 in words is "six billion, eight hundred nineteen million, three hundred one thousand, six hundred thirty-two".