4866624000 has 960 divisors, whose sum is σ = 21509908992. Its totient is φ = 1032192000.

The previous prime is 4866623963. The next prime is 4866624013. The reversal of 4866624000 is 4266684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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, 68543965 + ... + 68544035.

Almost surely, 2^4866624000 is an apocalyptic number.

4866624000 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 4866624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754954496).

4866624000 is an abundant number, since it is smaller than the sum of its proper divisors (16643284992).

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

4866624000 is a wasteful number, since it uses less digits than its factorization.

4866624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4866624000 is about 69761.1926503554. The cubic root of 4866624000 is about 1694.6340609763.

The spelling of 4866624000 in words is "four billion, eight hundred sixty-six million, six hundred twenty-four thousand".