6364884636 has 96 divisors (see below), whose sum is σ = 18112684800. Its totient is φ = 1916861760.

The previous prime is 6364884601. The next prime is 6364884653.

6364884636 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177210 + ... + 210078.

It is an arithmetic number, because the mean of its divisors is an integer number (188673800).

Almost surely, 2^6364884636 is an apocalyptic number.

6364884636 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 6364884636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056342400).

6364884636 is an abundant number, since it is smaller than the sum of its proper divisors (11747800164).

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

6364884636 is a wasteful number, since it uses less digits than its factorization.

6364884636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33056 (or 33048 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 6364884636 is about 79780.2270992005. The cubic root of 6364884636 is about 1853.2336565299.

The spelling of 6364884636 in words is "six billion, three hundred sixty-four million, eight hundred eighty-four thousand, six hundred thirty-six".