6349559436 has 96 divisors (see below), whose sum is σ = 17989708800. Its totient is φ = 1920749760.

The previous prime is 6349559431. The next prime is 6349559467.

6349559436 is a `hidden beast` number, since 6 + 3 + 49 + 5 + 594 + 3 + 6 = 666.

6349559436 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6349559431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723885 + ... + 732603.

It is an arithmetic number, because the mean of its divisors is an integer number (187392800).

Almost surely, 2^6349559436 is an apocalyptic number.

6349559436 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 6349559436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994854400).

6349559436 is an abundant number, since it is smaller than the sum of its proper divisors (11640149364).

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

6349559436 is a wasteful number, since it uses less digits than its factorization.

6349559436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356 (or 9348 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 6349559436 is about 79684.1228602035. The cubic root of 6349559436 is about 1851.7450722569.

The spelling of 6349559436 in words is "six billion, three hundred forty-nine million, five hundred fifty-nine thousand, four hundred thirty-six".