6483415392 has 384 divisors, whose sum is σ = 21424435200. Its totient is φ = 1896652800.

The previous prime is 6483415381. The next prime is 6483415397. The reversal of 6483415392 is 2935143846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6483415397) 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 63 ways as a sum of consecutive naturals, for example, 13204267 + ... + 13204757.

It is an arithmetic number, because the mean of its divisors is an integer number (55792800).

Almost surely, 2^6483415392 is an apocalyptic number.

6483415392 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 6483415392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712217600).

6483415392 is an abundant number, since it is smaller than the sum of its proper divisors (14941019808).

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

6483415392 is a wasteful number, since it uses less digits than its factorization.

6483415392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 6483415392 is about 80519.6584195437. The cubic root of 6483415392 is about 1864.6669897793. Note that the first 3 decimals are identical.

It can be divided in two parts, 6483 and 415392, that added together give a cube (421875 = 75³).

The spelling of 6483415392 in words is "six billion, four hundred eighty-three million, four hundred fifteen thousand, three hundred ninety-two".