4509750631680 has 864 divisors, whose sum is σ = 18389111360256. Its totient is φ = 999087538176.

The previous prime is 4509750631613. The next prime is 4509750631693. The reversal of 4509750631680 is 861360579054.

4509750631680 is a `hidden beast` number, since 4 + 50 + 9 + 7 + 506 + 3 + 1 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354729004 + ... + 354741716.

It is an arithmetic number, because the mean of its divisors is an integer number (21283693704).

Almost surely, 2^{4509750631680} is an apocalyptic number.

4509750631680 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 4509750631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194555680128).

4509750631680 is an abundant number, since it is smaller than the sum of its proper divisors (13879360728576).

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

4509750631680 is a wasteful number, since it uses less digits than its factorization.

4509750631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883 (or 12866 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 4509750631680 in words is "four trillion, five hundred nine billion, seven hundred fifty million, six hundred thirty-one thousand, six hundred eighty".