5636343398400 has 2448 divisors, whose sum is σ = 24815431259360. Its totient is φ = 1261279641600.

The previous prime is 5636343398369. The next prime is 5636343398443. The reversal of 5636343398400 is 48933436365.

It is a happy number.

5636343398400 is a `hidden beast` number, since 5 + 63 + 63 + 4 + 33 + 98 + 400 = 666.

It is a super-2 number, since 2×5636343398400² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 433564876794 + ... + 433564876806.

Almost surely, 2^{5636343398400} is an apocalyptic number.

5636343398400 is a gapful number since it is divisible by the number (50) 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 5636343398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12407715629680).

5636343398400 is an abundant number, since it is smaller than the sum of its proper divisors (19179087860960).

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

5636343398400 is an frugal number, since it uses more digits than its factorization.

5636343398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 5636343398400 in words is "five trillion, six hundred thirty-six billion, three hundred forty-three million, three hundred ninety-eight thousand, four hundred".