4874331728640 has 576 divisors, whose sum is σ = 17113363771392. Its totient is φ = 1172595916800.

The previous prime is 4874331728633. The next prime is 4874331728663. The reversal of 4874331728640 is 468271334784.

It is a super-2 number, since 2×4874331728640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4340455119 + ... + 4340456241.

It is an arithmetic number, because the mean of its divisors is an integer number (29710700992).

Almost surely, 2^{4874331728640} is an apocalyptic number.

4874331728640 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 4874331728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556681885696).

4874331728640 is an abundant number, since it is smaller than the sum of its proper divisors (12239032042752).

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

4874331728640 is a wasteful number, since it uses less digits than its factorization.

4874331728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 4874331728640 in words is "four trillion, eight hundred seventy-four billion, three hundred thirty-one million, seven hundred twenty-eight thousand, six hundred forty".