4360224960 has 672 divisors, whose sum is σ = 18745638912. Its totient is φ = 905748480.

The previous prime is 4360224887. The next prime is 4360225033. The reversal of 4360224960 is 694220634.

4360224960 is a `hidden beast` number, since 4 + 3 + 602 + 2 + 49 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4360224887) and next prime (4360225033).

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33284095 + ... + 33284225.

It is an arithmetic number, because the mean of its divisors is an integer number (27895296).

Almost surely, 2^4360224960 is an apocalyptic number.

4360224960 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 4360224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372819456).

4360224960 is an abundant number, since it is smaller than the sum of its proper divisors (14385413952).

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

4360224960 is a wasteful number, since it uses less digits than its factorization.

4360224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4360224960 is about 66031.9995153865. Note that the first 3 decimals coincide. The cubic root of 4360224960 is about 1633.6899305627.

The spelling of 4360224960 in words is "four billion, three hundred sixty million, two hundred twenty-four thousand, nine hundred sixty".