536633260800 has 2592 divisors, whose sum is σ = 2457433339200. Its totient is φ = 101732843520.

The previous prime is 536633260777. The next prime is 536633260871. The reversal of 536633260800 is 8062336635.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6029587156 + ... + 6029587244.

It is an arithmetic number, because the mean of its divisors is an integer number (948083850).

Almost surely, 2^536633260800 is an apocalyptic number.

536633260800 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 536633260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228716669600).

536633260800 is an abundant number, since it is smaller than the sum of its proper divisors (1920800078400).

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

536633260800 is a wasteful number, since it uses less digits than its factorization.

536633260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 536633260800 in words is "five hundred thirty-six billion, six hundred thirty-three million, two hundred sixty thousand, eight hundred".