5641513920 has 1120 divisors, whose sum is σ = 25492008960. Its totient is φ = 1154580480.

The previous prime is 5641513907. The next prime is 5641513921. The reversal of 5641513920 is 293151465.

5641513920 is a `hidden beast` number, since 5 + 641 + 5 + 1 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641513921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95618851 + ... + 95618909.

Almost surely, 2^5641513920 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 5641513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746004480).

5641513920 is an abundant number, since it is smaller than the sum of its proper divisors (19850495040).

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

5641513920 is a wasteful number, since it uses less digits than its factorization.

5641513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5641513920 is about 75110.0121155629. The cubic root of 5641513920 is about 1780.1853445010.

The spelling of 5641513920 in words is "five billion, six hundred forty-one million, five hundred thirteen thousand, nine hundred twenty".