5633506999296 has 528 divisors, whose sum is σ = 18727672204800. Its totient is φ = 1613094912000.

The previous prime is 5633506999259. The next prime is 5633506999297. The reversal of 5633506999296 is 6929996053365.

5633506999296 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 506 + 9 + 99 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-4 number, since 4×5633506999296⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 (5633506999297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787789321 + ... + 787796471.

Almost surely, 2^{5633506999296} 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 5633506999296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363836102400).

5633506999296 is an abundant number, since it is smaller than the sum of its proper divisors (13094165205504).

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

5633506999296 is a wasteful number, since it uses less digits than its factorization.

5633506999296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 637729200, while the sum is 72.

The spelling of 5633506999296 in words is "five trillion, six hundred thirty-three billion, five hundred six million, nine hundred ninety-nine thousand, two hundred ninety-six".