5785637760 has 384 divisors, whose sum is σ = 23839725600. Its totient is φ = 1322237952.

The previous prime is 5785637747. The next prime is 5785637771. The reversal of 5785637760 is 677365875.

5785637760 is a `hidden beast` number, since 5 + 7 + 8 + 563 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 5785637697 and 5785637706.

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, 843304 + ... + 850136.

Almost surely, 2^5785637760 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 5785637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11919862800).

5785637760 is an abundant number, since it is smaller than the sum of its proper divisors (18054087840).

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

5785637760 is a wasteful number, since it uses less digits than its factorization.

5785637760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The square root of 5785637760 is about 76063.3798880907. The cubic root of 5785637760 is about 1795.2175267813.

It can be divided in two parts, 5785 and 637760, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 5785637760 in words is "five billion, seven hundred eighty-five million, six hundred thirty-seven thousand, seven hundred sixty".