4815216000 has 768 divisors, whose sum is σ = 21000021120. Its totient is φ = 1032192000.

The previous prime is 4815215971. The next prime is 4815216011. The reversal of 4815216000 is 6125184.

4815216000 is a `hidden beast` number, since 4 + 8 + 1 + 52 + 1 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17135860 + ... + 17136140.

Almost surely, 2^4815216000 is an apocalyptic number.

4815216000 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 4815216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10500010560).

4815216000 is an abundant number, since it is smaller than the sum of its proper divisors (16184805120).

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

4815216000 is a wasteful number, since it uses less digits than its factorization.

4815216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4815216000 is about 69391.7574355917. The cubic root of 4815216000 is about 1688.6459048194.

The spelling of 4815216000 in words is "four billion, eight hundred fifteen million, two hundred sixteen thousand".