536638887936 has 720 divisors, whose sum is σ = 1756846891800. Its totient is φ = 162628632576.

The previous prime is 536638887923. The next prime is 536638887937. The reversal of 536638887936 is 639788836635.

536638887936 is a `hidden beast` number, since 536 + 6 + 3 + 8 + 8 + 87 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536638887937) 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, 3860711355 + ... + 3860711493.

Almost surely, 2^536638887936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536638887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878423445900).

536638887936 is an abundant number, since it is smaller than the sum of its proper divisors (1220208003864).

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

536638887936 is a wasteful number, since it uses less digits than its factorization.

536638887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 198 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 536638887936 in words is "five hundred thirty-six billion, six hundred thirty-eight million, eight hundred eighty-seven thousand, nine hundred thirty-six".