364513836544 has 320 divisors, whose sum is σ = 884013419520. Its totient is φ = 147923435520.

The previous prime is 364513836527. The next prime is 364513836551. The reversal of 364513836544 is 445638315463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 364513836491 and 364513836500.

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, 647448807 + ... + 647449369.

It is an arithmetic number, because the mean of its divisors is an integer number (2762541936).

Almost surely, 2^364513836544 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 364513836544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442006709760).

364513836544 is an abundant number, since it is smaller than the sum of its proper divisors (519499582976).

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

364513836544 is a wasteful number, since it uses less digits than its factorization.

364513836544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 865 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 52.

The spelling of 364513836544 in words is "three hundred sixty-four billion, five hundred thirteen million, eight hundred thirty-six thousand, five hundred forty-four".