4530743268480 has 1280 divisors, whose sum is σ = 19836007107840. Its totient is φ = 969754705920.

The previous prime is 4530743268473. The next prime is 4530743268497. The reversal of 4530743268480 is 848623470354.

4530743268480 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 74 + 32 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 170488474 + ... + 170515046.

It is an arithmetic number, because the mean of its divisors is an integer number (15496880553).

Almost surely, 2^{4530743268480} is an apocalyptic number.

4530743268480 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 4530743268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918003553920).

4530743268480 is an abundant number, since it is smaller than the sum of its proper divisors (15305263839360).

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

4530743268480 is a wasteful number, since it uses less digits than its factorization.

4530743268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26651 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4530743268480 in words is "four trillion, five hundred thirty billion, seven hundred forty-three million, two hundred sixty-eight thousand, four hundred eighty".