4382760960 has 280 divisors, whose sum is σ = 15723944676. Its totient is φ = 1167851520.

The previous prime is 4382760953. The next prime is 4382760971. The reversal of 4382760960 is 690672834.

4382760960 is a `hidden beast` number, since 4 + 38 + 2 + 7 + 609 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4236447744 + 146313216 = 65088^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317100 + ... + 3318420.

Almost surely, 2^4382760960 is an apocalyptic number.

4382760960 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 4382760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861972338).

4382760960 is an abundant number, since it is smaller than the sum of its proper divisors (11341183716).

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

4382760960 is an equidigital number, since it uses as much as digits as its factorization.

4382760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4382760960 is about 66202.4241248007. The cubic root of 4382760960 is about 1636.4996929296.

The spelling of 4382760960 in words is "four billion, three hundred eighty-two million, seven hundred sixty thousand, nine hundred sixty".