820372328467200 has 432 divisors, whose sum is σ = 3031908638760960. Its totient is φ = 217043381882880.

The previous prime is 820372328467169. The next prime is 820372328467229. The reversal of 820372328467200 is 2764823273028.

820372328467200 is a `hidden beast` number, since 8 + 2 + 0 + 3 + 72 + 328 + 46 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3254557 + ... + 40636643.

Almost surely, 2^{820372328467200} is an apocalyptic number.

820372328467200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820372328467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515954319380480).

820372328467200 is an abundant number, since it is smaller than the sum of its proper divisors (2211536310293760).

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

820372328467200 is a wasteful number, since it uses less digits than its factorization.

820372328467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37382249 (or 37382224 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 820372328467200 in words is "eight hundred twenty trillion, three hundred seventy-two billion, three hundred twenty-eight million, four hundred sixty-seven thousand, two hundred".