6483013632 has 312 divisors, whose sum is σ = 20171484240. Its totient is φ = 2057011200.

The previous prime is 6483013627. The next prime is 6483013639. The reversal of 6483013632 is 2363103846.

6483013632 is a `hidden beast` number, since 6 + 4 + 8 + 3 + 0 + 13 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6483013639) 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 23 ways as a sum of consecutive naturals, for example, 106278882 + ... + 106278942.

Almost surely, 2^6483013632 is an apocalyptic number.

6483013632 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 6483013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085742120).

6483013632 is an abundant number, since it is smaller than the sum of its proper divisors (13688470608).

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

6483013632 is an equidigital number, since it uses as much as digits as its factorization.

6483013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6483013632 is about 80517.1635864056. The cubic root of 6483013632 is about 1864.6284728331.

The spelling of 6483013632 in words is "six billion, four hundred eighty-three million, thirteen thousand, six hundred thirty-two".