4379724960 has 768 divisors, whose sum is σ = 17283248640. Its totient is φ = 920125440.

The previous prime is 4379724953. The next prime is 4379724983. The reversal of 4379724960 is 694279734.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82636294 + ... + 82636346.

It is an arithmetic number, because the mean of its divisors is an integer number (22504230).

Almost surely, 2^4379724960 is an apocalyptic number.

4379724960 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 4379724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8641624320).

4379724960 is an abundant number, since it is smaller than the sum of its proper divisors (12903523680).

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

4379724960 is a wasteful number, since it uses less digits than its factorization.

4379724960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 4379724960 is about 66179.4904785463. The cubic root of 4379724960 is about 1636.1217302112.

The spelling of 4379724960 in words is "four billion, three hundred seventy-nine million, seven hundred twenty-four thousand, nine hundred sixty".