6482565936 has 450 divisors, whose sum is σ = 24461634132. Its totient is φ = 1584737280.

The previous prime is 6482565913. The next prime is 6482565959. The reversal of 6482565936 is 6395652846.

6482565936 is a `hidden beast` number, since 6 + 48 + 2 + 5 + 6 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6482565913) and next prime (6482565959).

It is a super-2 number, since 2×6482565936² = 84047322229175112192, which contains 22 as substring.

Its product of digits (9331200) is a multiple of the sum of its prime divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 381327400 + ... + 381327416.

Almost surely, 2^6482565936 is an apocalyptic number.

6482565936 is a gapful number since it is divisible by the number (66) 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 6482565936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12230817066).

6482565936 is an abundant number, since it is smaller than the sum of its proper divisors (17979068196).

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

6482565936 is a wasteful number, since it uses less digits than its factorization.

6482565936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 40 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 6482565936 is about 80514.3834106677. The cubic root of 6482565936 is about 1864.5855501034.

The spelling of 6482565936 in words is "six billion, four hundred eighty-two million, five hundred sixty-five thousand, nine hundred thirty-six".