5780367360 has 576 divisors, whose sum is σ = 21893639040. Its totient is φ = 1459814400.

The previous prime is 5780367349. The next prime is 5780367367. The reversal of 5780367360 is 637630875.

5780367360 is a `hidden beast` number, since 578 + 0 + 3 + 6 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5780367367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57231310 + ... + 57231410.

It is an arithmetic number, because the mean of its divisors is an integer number (38009790).

Almost surely, 2^5780367360 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 5780367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946819520).

5780367360 is an abundant number, since it is smaller than the sum of its proper divisors (16113271680).

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

5780367360 is a wasteful number, since it uses less digits than its factorization.

5780367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5780367360 is about 76028.7272022885. The cubic root of 5780367360 is about 1794.6722461355.

The spelling of 5780367360 in words is "five billion, seven hundred eighty million, three hundred sixty-seven thousand, three hundred sixty".