5601795840 has 432 divisors, whose sum is σ = 21026628000. Its totient is φ = 1412038656.

The previous prime is 5601795839. The next prime is 5601795853. The reversal of 5601795840 is 485971065.

5601795840 is a `hidden beast` number, since 5 + 60 + 1 + 7 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12475936 + ... + 12476384.

It is an arithmetic number, because the mean of its divisors is an integer number (48672750).

Almost surely, 2^5601795840 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 5601795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513314000).

5601795840 is an abundant number, since it is smaller than the sum of its proper divisors (15424832160).

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

5601795840 is a wasteful number, since it uses less digits than its factorization.

5601795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5601795840 is about 74845.1457343761. The cubic root of 5601795840 is about 1775.9978086167.

The spelling of 5601795840 in words is "five billion, six hundred one million, seven hundred ninety-five thousand, eight hundred forty".