827364463728 has 80 divisors (see below), whose sum is σ = 2333221200000. Its totient is φ = 250549008640.

The previous prime is 827364463711. The next prime is 827364463769.

It is a happy number.

827364463728 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268798 + ... + 1314146.

It is an arithmetic number, because the mean of its divisors is an integer number (29165265000).

Almost surely, 2^827364463728 is an apocalyptic number.

827364463728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

827364463728 is an abundant number, since it is smaller than the sum of its proper divisors (1505856736272).

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

827364463728 is a wasteful number, since it uses less digits than its factorization.

827364463728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046870 (or 1046864 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 827364463728 in words is "eight hundred twenty-seven billion, three hundred sixty-four million, four hundred sixty-three thousand, seven hundred twenty-eight".