528746496768 has 720 divisors, whose sum is σ = 1947231316800. Its totient is φ = 142151417856.

The previous prime is 528746496731. The next prime is 528746496769. The reversal of 528746496768 is 867694647825.

528746496768 is a `hidden beast` number, since 5 + 2 + 8 + 7 + 464 + 96 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 528746496696 and 528746496705.

It is not an unprimeable number, because it can be changed into a prime (528746496769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120909430 + ... + 120913802.

It is an arithmetic number, because the mean of its divisors is an integer number (2704487940).

Almost surely, 2^528746496768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528746496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973615658400).

528746496768 is an abundant number, since it is smaller than the sum of its proper divisors (1418484820032).

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

528746496768 is an equidigital number, since it uses as much as digits as its factorization.

528746496768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4402 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 528746496768 in words is "five hundred twenty-eight billion, seven hundred forty-six million, four hundred ninety-six thousand, seven hundred sixty-eight".