4650024960 has 720 divisors, whose sum is σ = 19874102976. Its totient is φ = 981467136.

The previous prime is 4650024959. The next prime is 4650024979. The reversal of 4650024960 is 694200564.

4650024960 is a `hidden beast` number, since 46 + 500 + 24 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87736294 + ... + 87736346.

Almost surely, 2^4650024960 is an apocalyptic number.

4650024960 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 4650024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937051488).

4650024960 is an abundant number, since it is smaller than the sum of its proper divisors (15224078016).

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

4650024960 is a wasteful number, since it uses less digits than its factorization.

4650024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4650024960 is about 68191.0915002832. The cubic root of 4650024960 is about 1669.1105211049.

The spelling of 4650024960 in words is "four billion, six hundred fifty million, twenty-four thousand, nine hundred sixty".