4806648000 has 1344 divisors, whose sum is σ = 23355970560. Its totient is φ = 940032000.

The previous prime is 4806647977. The next prime is 4806648001. The reversal of 4806648000 is 8466084.

4806648000 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×4806648000³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806648001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282743992 + ... + 282744008.

Almost surely, 2^4806648000 is an apocalyptic number.

4806648000 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 4806648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11677985280).

4806648000 is an abundant number, since it is smaller than the sum of its proper divisors (18549322560).

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

4806648000 is a wasteful number, since it uses less digits than its factorization.

4806648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4806648000 is about 69329.9935093030. The cubic root of 4806648000 is about 1687.6437408423.

The spelling of 4806648000 in words is "four billion, eight hundred six million, six hundred forty-eight thousand".