6482279552 has 256 divisors, whose sum is σ = 16356556800. Its totient is φ = 2496614400.

The previous prime is 6482279513. The next prime is 6482279591. The reversal of 6482279552 is 2559722846.

It is an interprime number because it is at equal distance from previous prime (6482279513) and next prime (6482279591).

It is a super-3 number, since 3×6482279552³ (a number of 30 digits) contains 333 as substring.

Its product of digits (2419200) is a multiple of the sum of its prime factors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 6482279552.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37469738 + ... + 37469910.

It is an arithmetic number, because the mean of its divisors is an integer number (63892800).

Almost surely, 2^6482279552 is an apocalyptic number.

6482279552 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 6482279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178278400).

6482279552 is an abundant number, since it is smaller than the sum of its proper divisors (9874277248).

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

6482279552 is a wasteful number, since it uses less digits than its factorization.

6482279552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 50.

The square root of 6482279552 is about 80512.6049261853. The cubic root of 6482279552 is about 1864.5580920805.

The spelling of 6482279552 in words is "six billion, four hundred eighty-two million, two hundred seventy-nine thousand, five hundred fifty-two".