4379875920 has 720 divisors, whose sum is σ = 18623474688. Its totient is φ = 902430720.

The previous prime is 4379875867. The next prime is 4379875939. The reversal of 4379875920 is 295789734.

4379875920 is a `hidden beast` number, since 43 + 7 + 9 + 8 + 7 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45153312 + ... + 45153408.

Almost surely, 2^4379875920 is an apocalyptic number.

4379875920 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 4379875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311737344).

4379875920 is an abundant number, since it is smaller than the sum of its proper divisors (14243598768).

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

4379875920 is a wasteful number, since it uses less digits than its factorization.

4379875920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 4379875920 is about 66180.6310033381. The cubic root of 4379875920 is about 1636.1405278984.

The spelling of 4379875920 in words is "four billion, three hundred seventy-nine million, eight hundred seventy-five thousand, nine hundred twenty".