5787383040 has 288 divisors, whose sum is σ = 20691820800. Its totient is φ = 1531699200.

The previous prime is 5787382973. The next prime is 5787383051. The reversal of 5787383040 is 403837875.

5787383040 is a `hidden beast` number, since 578 + 7 + 3 + 8 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 5218006 + ... + 5219114.

It is an arithmetic number, because the mean of its divisors is an integer number (71846600).

Almost surely, 2^5787383040 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 5787383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345910400).

5787383040 is an abundant number, since it is smaller than the sum of its proper divisors (14904437760).

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

5787383040 is a wasteful number, since it uses less digits than its factorization.

5787383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5787383040 is about 76074.8515608148. The cubic root of 5787383040 is about 1795.3980221379.

The spelling of 5787383040 in words is "five billion, seven hundred eighty-seven million, three hundred eighty-three thousand, forty".