6409183536 has 240 divisors, whose sum is σ = 22092871680. Its totient is φ = 1771943040.

The previous prime is 6409183507. The next prime is 6409183537. The reversal of 6409183536 is 6353819046.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6409183491 and 6409183500.

It is not an unprimeable number, because it can be changed into a prime (6409183537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651325 + ... + 661091.

It is an arithmetic number, because the mean of its divisors is an integer number (92053632).

Almost surely, 2^6409183536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409183536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046435840).

6409183536 is an abundant number, since it is smaller than the sum of its proper divisors (15683688144).

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

6409183536 is a wasteful number, since it uses less digits than its factorization.

6409183536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6409183536 is about 80057.3765245902. The cubic root of 6409183536 is about 1857.5231548178.

The spelling of 6409183536 in words is "six billion, four hundred nine million, one hundred eighty-three thousand, five hundred thirty-six".