4379679360 has 384 divisors, whose sum is σ = 18196963200. Its totient is φ = 948215808.

The previous prime is 4379679319. The next prime is 4379679371. The reversal of 4379679360 is 639769734.

4379679360 is a `hidden beast` number, since 437 + 9 + 67 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4379679297 and 4379679306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763222 + ... + 768938.

It is an arithmetic number, because the mean of its divisors is an integer number (47387925).

Almost surely, 2^4379679360 is an apocalyptic number.

4379679360 is a gapful number since it is divisible by the number (40) 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 4379679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9098481600).

4379679360 is an abundant number, since it is smaller than the sum of its proper divisors (13817283840).

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

4379679360 is a wasteful number, since it uses less digits than its factorization.

4379679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The square root of 4379679360 is about 66179.1459600379. The cubic root of 4379679360 is about 1636.1160519696.

The spelling of 4379679360 in words is "four billion, three hundred seventy-nine million, six hundred seventy-nine thousand, three hundred sixty".