5780069040 has 240 divisors, whose sum is σ = 19504108800. Its totient is φ = 1412052480.

The previous prime is 5780069017. The next prime is 5780069047. The reversal of 5780069040 is 409600875.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 5780069040.

It is not an unprimeable number, because it can be changed into a prime (5780069047) 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, 4381501 + ... + 4382819.

It is an arithmetic number, because the mean of its divisors is an integer number (81267120).

Almost surely, 2^5780069040 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 5780069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752054400).

5780069040 is an abundant number, since it is smaller than the sum of its proper divisors (13724039760).

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

5780069040 is a wasteful number, since it uses less digits than its factorization.

5780069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5780069040 is about 76026.7652869698. The cubic root of 5780069040 is about 1794.6413717521.

The spelling of 5780069040 in words is "five billion, seven hundred eighty million, sixty-nine thousand, forty".