364364436400 has 120 divisors (see below), whose sum is σ = 930406680320. Its totient is φ = 136734117120.

The previous prime is 364364436389. The next prime is 364364436409. The reversal of 364364436400 is 4634463463.

It is a super-2 number, since 2×364364436400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (364364436409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550069 + ... + 1015531.

Almost surely, 2^364364436400 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 364364436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465203340160).

364364436400 is an abundant number, since it is smaller than the sum of its proper divisors (566042243920).

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

364364436400 is a wasteful number, since it uses less digits than its factorization.

364364436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465603 (or 465592 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 43.

Adding to 364364436400 its reverse (4634463463), we get a palindrome (368998899863).

The spelling of 364364436400 in words is "three hundred sixty-four billion, three hundred sixty-four million, four hundred thirty-six thousand, four hundred".