536002684800 has 768 divisors, whose sum is σ = 2005446643200. Its totient is φ = 124637184000.

The previous prime is 536002684751. The next prime is 536002684843. The reversal of 536002684800 is 8486200635.

It is a super-2 number, since 2×536002684800² (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554293917 + ... + 554294883.

It is an arithmetic number, because the mean of its divisors is an integer number (2611258650).

Almost surely, 2^536002684800 is an apocalyptic number.

536002684800 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 536002684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002723321600).

536002684800 is an abundant number, since it is smaller than the sum of its proper divisors (1469443958400).

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

536002684800 is a wasteful number, since it uses less digits than its factorization.

536002684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 536002684800 in words is "five hundred thirty-six billion, two million, six hundred eighty-four thousand, eight hundred".