8836469664400 has 405 divisors, whose sum is σ = 26254838330289. Its totient is φ = 2849149255680.

The previous prime is 8836469664397. The next prime is 8836469664443. The reversal of 8836469664400 is 44669646388.

The square root of 8836469664400 is 2972620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3869419463056 + 4967050201344 = 1967084^2 + 2228688^2 .

It is a super-2 number, since 2×8836469664400² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7074834976 + ... + 7074836224.

Almost surely, 2^{8836469664400} is an apocalyptic number.

8836469664400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8836469664400 is the 2972620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8836469664400

8836469664400 is an abundant number, since it is smaller than the sum of its proper divisors (17418368665889).

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

8836469664400 is a wasteful number, since it uses less digits than its factorization.

8836469664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 64.

Multiplying 8836469664400 by its sum of digits (64), we get a square (565534058521600 = 23780960²).

The spelling of 8836469664400 in words is "eight trillion, eight hundred thirty-six billion, four hundred sixty-nine million, six hundred sixty-four thousand, four hundred".