4387758960 has 320 divisors, whose sum is σ = 15199027200. Its totient is φ = 1040117760.

The previous prime is 4387758959. The next prime is 4387759027. The reversal of 4387758960 is 698577834.

It is a super-4 number, since 4×4387758960⁴ (a number of 40 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4387758960.

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, 22048941 + ... + 22049139.

It is an arithmetic number, because the mean of its divisors is an integer number (47496960).

Almost surely, 2^4387758960 is an apocalyptic number.

4387758960 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 4387758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599513600).

4387758960 is an abundant number, since it is smaller than the sum of its proper divisors (10811268240).

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

4387758960 is a wasteful number, since it uses less digits than its factorization.

4387758960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The square root of 4387758960 is about 66240.1612316878. The cubic root of 4387758960 is about 1637.1215321747.

The spelling of 4387758960 in words is "four billion, three hundred eighty-seven million, seven hundred fifty-eight thousand, nine hundred sixty".