825624027648 has 720 divisors, whose sum is σ = 2934759484800. Its totient is φ = 223322738688.

The previous prime is 825624027643. The next prime is 825624027659. The reversal of 825624027648 is 846720426528.

825624027648 is a `hidden beast` number, since 8 + 2 + 5 + 624 + 0 + 2 + 7 + 6 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 825624027594 and 825624027603.

It is not an unprimeable number, because it can be changed into a prime (825624027643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 570575661 + ... + 570577107.

It is an arithmetic number, because the mean of its divisors is an integer number (4076054840).

Almost surely, 2^825624027648 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 825624027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467379742400).

825624027648 is an abundant number, since it is smaller than the sum of its proper divisors (2109135457152).

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

825624027648 is a wasteful number, since it uses less digits than its factorization.

825624027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 825624027648 in words is "eight hundred twenty-five billion, six hundred twenty-four million, twenty-seven thousand, six hundred forty-eight".