536693760000 has 840 divisors, whose sum is σ = 2042613435720. Its totient is φ = 135364608000.

The previous prime is 536693759989. The next prime is 536693760007. The reversal of 536693760000 is 67396635.

536693760000 is a `hidden beast` number, since 5 + 3 + 6 + 6 + 9 + 37 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536693760007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 875519694 + ... + 875520306.

Almost surely, 2^536693760000 is an apocalyptic number.

536693760000 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 536693760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021306717860).

536693760000 is an abundant number, since it is smaller than the sum of its proper divisors (1505919675720).

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

536693760000 is an equidigital number, since it uses as much as digits as its factorization.

536693760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 536693760000 in words is "five hundred thirty-six billion, six hundred ninety-three million, seven hundred sixty thousand".