826974479628 has 144 divisors (see below), whose sum is σ = 2401008704640. Its totient is φ = 237355488000.

The previous prime is 826974479567. The next prime is 826974479641.

826974479628 is a `hidden beast` number, since 8 + 2 + 6 + 97 + 4 + 479 + 62 + 8 = 666.

826974479628 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43637251 + ... + 43656197.

It is an arithmetic number, because the mean of its divisors is an integer number (16673671560).

Almost surely, 2^826974479628 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 826974479628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200504352320).

826974479628 is an abundant number, since it is smaller than the sum of its proper divisors (1574034225012).

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

826974479628 is a wasteful number, since it uses less digits than its factorization.

826974479628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24788 (or 24783 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 826974479628 in words is "eight hundred twenty-six billion, nine hundred seventy-four million, four hundred seventy-nine thousand, six hundred twenty-eight".