6482617344 has 528 divisors, whose sum is σ = 23727644928. Its totient is φ = 1660944384.

The previous prime is 6482617343. The next prime is 6482617373. The reversal of 6482617344 is 4437162846.

6482617344 is a `hidden beast` number, since 6 + 48 + 261 + 7 + 344 = 666.

It is a super-2 number, since 2×6482617344² = 84048655257459228672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6482617344.

It is not an unprimeable number, because it can be changed into a prime (6482617343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25224064 + ... + 25224320.

Almost surely, 2^6482617344 is an apocalyptic number.

6482617344 is a gapful number since it is divisible by the number (64) 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 6482617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11863822464).

6482617344 is an abundant number, since it is smaller than the sum of its proper divisors (17245027584).

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

6482617344 is a wasteful number, since it uses less digits than its factorization.

6482617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 6482617344 is about 80514.7026573408. The cubic root of 6482617344 is about 1864.5904789316.

The spelling of 6482617344 in words is "six billion, four hundred eighty-two million, six hundred seventeen thousand, three hundred forty-four".