4528319967864 has 384 divisors, whose sum is σ = 15781750732800. Its totient is φ = 1138988632320.

The previous prime is 4528319967833. The next prime is 4528319967943. The reversal of 4528319967864 is 4687699138254.

4528319967864 is a `hidden beast` number, since 4 + 528 + 3 + 1 + 9 + 96 + 7 + 8 + 6 + 4 = 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 = 4528319967792 and 4528319967801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21812119 + ... + 22018745.

It is an arithmetic number, because the mean of its divisors is an integer number (41098309200).

Almost surely, 2^{4528319967864} is an apocalyptic number.

4528319967864 is a gapful number since it is divisible by the number (44) 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 4528319967864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890875366400).

4528319967864 is an abundant number, since it is smaller than the sum of its proper divisors (11253430764936).

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

4528319967864 is a wasteful number, since it uses less digits than its factorization.

4528319967864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206783 (or 206776 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 4528319967864 in words is "four trillion, five hundred twenty-eight billion, three hundred nineteen million, nine hundred sixty-seven thousand, eight hundred sixty-four".