5633956944 has 720 divisors, whose sum is σ = 22140832896. Its totient is φ = 1343692800.

The previous prime is 5633956919. The next prime is 5633956967. The reversal of 5633956944 is 4496593365.

5633956944 is a `hidden beast` number, since 5 + 6 + 3 + 39 + 569 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10497600) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137413564 + ... + 137413604.

Almost surely, 2^5633956944 is an apocalyptic number.

5633956944 is a gapful number since it is divisible by the number (54) 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 5633956944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070416448).

5633956944 is an abundant number, since it is smaller than the sum of its proper divisors (16506875952).

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

5633956944 is a wasteful number, since it uses less digits than its factorization.

5633956944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 5633956944 is about 75059.6892079897. The cubic root of 5633956944 is about 1779.3901188810.

The spelling of 5633956944 in words is "five billion, six hundred thirty-three million, nine hundred fifty-six thousand, nine hundred forty-four".