5879006784 has 448 divisors, whose sum is σ = 20599603200. Its totient is φ = 1609445376.

The previous prime is 5879006767. The next prime is 5879006789. The reversal of 5879006784 is 4876009785.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5879006784.

It is not an unprimeable number, because it can be changed into a prime (5879006789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46291329 + ... + 46291455.

Almost surely, 2^5879006784 is an apocalyptic number.

5879006784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5879006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299801600).

5879006784 is an abundant number, since it is smaller than the sum of its proper divisors (14720596416).

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

5879006784 is a wasteful number, since it uses less digits than its factorization.

5879006784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 5879006784 is about 76674.6815056965. The cubic root of 5879006784 is about 1804.8231535622.

The spelling of 5879006784 in words is "five billion, eight hundred seventy-nine million, six thousand, seven hundred eighty-four".