827474414424 has 32 divisors (see below), whose sum is σ = 2364212613120. Its totient is φ = 236421261216.

The previous prime is 827474414383. The next prime is 827474414447. The reversal of 827474414424 is 424414474728.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2462721304 + ... + 2462721639.

It is an arithmetic number, because the mean of its divisors is an integer number (73881644160).

Almost surely, 2^827474414424 is an apocalyptic number.

827474414424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

827474414424 is an abundant number, since it is smaller than the sum of its proper divisors (1536738198696).

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

827474414424 is a wasteful number, since it uses less digits than its factorization.

827474414424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925442959 (or 4925442955 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 51.

The spelling of 827474414424 in words is "eight hundred twenty-seven billion, four hundred seventy-four million, four hundred fourteen thousand, four hundred twenty-four".