5638640901120 has 264 divisors, whose sum is σ = 19785069869760. Its totient is φ = 1484603228160.

The previous prime is 5638640901119. The next prime is 5638640901133. The reversal of 5638640901120 is 211090468365.

5638640901120 is a `hidden beast` number, since 5 + 638 + 6 + 4 + 0 + 9 + 0 + 1 + 1 + 2 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2865850 + ... + 4414790.

Almost surely, 2^{5638640901120} 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 5638640901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892534934880).

5638640901120 is an abundant number, since it is smaller than the sum of its proper divisors (14146428968640).

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

5638640901120 is a wasteful number, since it uses less digits than its factorization.

5638640901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549051 (or 1549030 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5638640901120 in words is "five trillion, six hundred thirty-eight billion, six hundred forty million, nine hundred one thousand, one hundred twenty".