5795627760 has 960 divisors, whose sum is σ = 24568427520. Its totient is φ = 1254113280.

The previous prime is 5795627759. The next prime is 5795627771. The reversal of 5795627760 is 677265975.

5795627760 is a `hidden beast` number, since 5 + 7 + 9 + 5 + 627 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×5795627760² = 67178602264965235200, which contains 22 as substring.

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 = 5795627697 and 5795627706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81628525 + ... + 81628595.

It is an arithmetic number, because the mean of its divisors is an integer number (25592112).

Almost surely, 2^5795627760 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 5795627760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284213760).

5795627760 is an abundant number, since it is smaller than the sum of its proper divisors (18772799760).

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

5795627760 is a wasteful number, since it uses less digits than its factorization.

5795627760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The square root of 5795627760 is about 76129.0204849636. The cubic root of 5795627760 is about 1796.2501937317.

The spelling of 5795627760 in words is "five billion, seven hundred ninety-five million, six hundred twenty-seven thousand, seven hundred sixty".