4379719680 has 768 divisors, whose sum is σ = 18618163200. Its totient is φ = 955514880.

The previous prime is 4379719667. The next prime is 4379719699. The reversal of 4379719680 is 869179734.

It is a happy number.

4379719680 is a `hidden beast` number, since 4 + 379 + 7 + 196 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59996124 + ... + 59996196.

It is an arithmetic number, because the mean of its divisors is an integer number (24242400).

Almost surely, 2^4379719680 is an apocalyptic number.

4379719680 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 4379719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309081600).

4379719680 is an abundant number, since it is smaller than the sum of its proper divisors (14238443520).

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

4379719680 is a wasteful number, since it uses less digits than its factorization.

4379719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 4379719680 is about 66179.4505870213. The cubic root of 4379719680 is about 1636.1210727326.

The spelling of 4379719680 in words is "four billion, three hundred seventy-nine million, seven hundred nineteen thousand, six hundred eighty".