6426083328 has 240 divisors, whose sum is σ = 20635345920. Its totient is φ = 1737621504.

The previous prime is 6426083327. The next prime is 6426083329. The reversal of 6426083328 is 8233806246.

It is an interprime number because it is at equal distance from previous prime (6426083327) and next prime (6426083329).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6426083328.

It is not an unprimeable number, because it can be changed into a prime (6426083327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6536725 + ... + 6537707.

It is an arithmetic number, because the mean of its divisors is an integer number (85980608).

Almost surely, 2^6426083328 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 6426083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317672960).

6426083328 is an abundant number, since it is smaller than the sum of its proper divisors (14209262592).

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

6426083328 is an equidigital number, since it uses as much as digits as its factorization.

6426083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 6426083328 is about 80162.8550389767. The cubic root of 6426083328 is about 1859.1543664362.

The spelling of 6426083328 in words is "six billion, four hundred twenty-six million, eighty-three thousand, three hundred twenty-eight".