4560763748352 has 304 divisors, whose sum is σ = 14076728463360. Its totient is φ = 1286458048512.

The previous prime is 4560763748341. The next prime is 4560763748371. The reversal of 4560763748352 is 2538473670654.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434891653 + ... + 434902139.

It is an arithmetic number, because the mean of its divisors is an integer number (46305027840).

Almost surely, 2^{4560763748352} is an apocalyptic number.

4560763748352 is a gapful number since it is divisible by the number (42) 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 4560763748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038364231680).

4560763748352 is an abundant number, since it is smaller than the sum of its proper divisors (9515964715008).

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

4560763748352 is an frugal number, since it uses more digits than its factorization.

4560763748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 4560763748352 in words is "four trillion, five hundred sixty billion, seven hundred sixty-three million, seven hundred forty-eight thousand, three hundred fifty-two".