5787672480 has 192 divisors, whose sum is σ = 20291886720. Its totient is φ = 1540712448.

The previous prime is 5787672467. The next prime is 5787672481. The reversal of 5787672480 is 842767875.

It is a happy number.

5787672480 is a `hidden beast` number, since 578 + 7 + 67 + 2 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5787672481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4850764 + ... + 4851956.

It is an arithmetic number, because the mean of its divisors is an integer number (105686910).

Almost surely, 2^5787672480 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 5787672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10145943360).

5787672480 is an abundant number, since it is smaller than the sum of its proper divisors (14504214240).

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

5787672480 is a wasteful number, since it uses less digits than its factorization.

5787672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 5787672480 is about 76076.7538739660. The cubic root of 5787672480 is about 1795.4279522656.

The spelling of 5787672480 in words is "five billion, seven hundred eighty-seven million, six hundred seventy-two thousand, four hundred eighty".