4687648000 has 288 divisors, whose sum is σ = 14142256128. Its totient is φ = 1511424000.

The previous prime is 4687647973. The next prime is 4687648079. The reversal of 4687648000 is 8467864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3807385 + ... + 3808615.

It is an arithmetic number, because the mean of its divisors is an integer number (49105056).

Almost surely, 2^4687648000 is an apocalyptic number.

4687648000 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 4687648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071128064).

4687648000 is an abundant number, since it is smaller than the sum of its proper divisors (9454608128).

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

4687648000 is a wasteful number, since it uses less digits than its factorization.

4687648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 4687648000 is about 68466.4005187946. The cubic root of 4687648000 is about 1673.5999885448.

The spelling of 4687648000 in words is "four billion, six hundred eighty-seven million, six hundred forty-eight thousand".