4847616000 has 360 divisors, whose sum is σ = 17543189664. Its totient is φ = 1287782400.

The previous prime is 4847615987. The next prime is 4847616001. The reversal of 4847616000 is 6167484.

4847616000 is a `hidden beast` number, since 4 + 8 + 47 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (4847616001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431869 + ... + 18432131.

Almost surely, 2^4847616000 is an apocalyptic number.

4847616000 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 4847616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771594832).

4847616000 is an abundant number, since it is smaller than the sum of its proper divisors (12695573664).

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

4847616000 is an equidigital number, since it uses as much as digits as its factorization.

4847616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4847616000 is about 69624.8231595600. The cubic root of 4847616000 is about 1692.4248886839.

The spelling of 4847616000 in words is "four billion, eight hundred forty-seven million, six hundred sixteen thousand".