4672584947520 has 1680 divisors, whose sum is σ = 20137449346560. Its totient is φ = 1029996269568.

The previous prime is 4672584947519. The next prime is 4672584947543. The reversal of 4672584947520 is 257494852764.

4672584947520 is a `hidden beast` number, since 4 + 6 + 7 + 2 + 58 + 494 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5414350609 + ... + 5414351471.

It is an arithmetic number, because the mean of its divisors is an integer number (11986576992).

Almost surely, 2^{4672584947520} is an apocalyptic number.

4672584947520 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 4672584947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10068724673280).

4672584947520 is an abundant number, since it is smaller than the sum of its proper divisors (15464864399040).

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

4672584947520 is an frugal number, since it uses more digits than its factorization.

4672584947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 4672584947520 in words is "four trillion, six hundred seventy-two billion, five hundred eighty-four million, nine hundred forty-seven thousand, five hundred twenty".