4752971616768 has 480 divisors, whose sum is σ = 13542648482880. Its totient is φ = 1479148339200.

The previous prime is 4752971616761. The next prime is 4752971616769. The reversal of 4752971616768 is 8676161792574.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4752971616761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13697324371 + ... + 13697324717.

It is an arithmetic number, because the mean of its divisors is an integer number (28213851006).

Almost surely, 2^{4752971616768} is an apocalyptic number.

4752971616768 is a gapful number since it is divisible by the number (48) 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 4752971616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6771324241440).

4752971616768 is an abundant number, since it is smaller than the sum of its proper divisors (8789676866112).

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

4752971616768 is an equidigital number, since it uses as much as digits as its factorization.

4752971616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 513 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 69.

The spelling of 4752971616768 in words is "four trillion, seven hundred fifty-two billion, nine hundred seventy-one million, six hundred sixteen thousand, seven hundred sixty-eight".