5787645984 has 72 divisors (see below), whose sum is σ = 16465962240. Its totient is φ = 1928354688.

The previous prime is 5787645961. The next prime is 5787645989. The reversal of 5787645984 is 4895467875.

5787645984 is a `hidden beast` number, since 578 + 7 + 6 + 4 + 59 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5787645984² = 66993692072222656512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5787645989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1278477 + ... + 1282995.

It is an arithmetic number, because the mean of its divisors is an integer number (228693920).

Almost surely, 2^5787645984 is an apocalyptic number.

It is an amenable number.

5787645984 is an abundant number, since it is smaller than the sum of its proper divisors (10678316256).

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

5787645984 is a wasteful number, since it uses less digits than its factorization.

5787645984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8982 (or 8971 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The square root of 5787645984 is about 76076.5797338445. The cubic root of 5787645984 is about 1795.4252124347.

The spelling of 5787645984 in words is "five billion, seven hundred eighty-seven million, six hundred forty-five thousand, nine hundred eighty-four".