536433222400 has 216 divisors, whose sum is σ = 1365630812784. Its totient is φ = 208469606400.

The previous prime is 536433222349. The next prime is 536433222419. The reversal of 536433222400 is 4222334635.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229931634 + ... + 229933966.

It is an arithmetic number, because the mean of its divisors is an integer number (6322364874).

Almost surely, 2^536433222400 is an apocalyptic number.

536433222400 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 536433222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682815406392).

536433222400 is an abundant number, since it is smaller than the sum of its proper divisors (829197590384).

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

536433222400 is a wasteful number, since it uses less digits than its factorization.

536433222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The spelling of 536433222400 in words is "five hundred thirty-six billion, four hundred thirty-three million, two hundred twenty-two thousand, four hundred".