364232633856 has 1280 divisors, whose sum is σ = 1346313830400. Its totient is φ = 84786020352.

The previous prime is 364232633803. The next prime is 364232633861. The reversal of 364232633856 is 658336232463.

It is a junction number, because it is equal to n+sod(n) for n = 364232633799 and 364232633808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4092501460 + ... + 4092501548.

It is an arithmetic number, because the mean of its divisors is an integer number (1051807680).

Almost surely, 2^364232633856 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 364232633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673156915200).

364232633856 is an abundant number, since it is smaller than the sum of its proper divisors (982081196544).

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

364232633856 is a wasteful number, since it uses less digits than its factorization.

364232633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 51.

The spelling of 364232633856 in words is "three hundred sixty-four billion, two hundred thirty-two million, six hundred thirty-three thousand, eight hundred fifty-six".