8232219475200 has 1296 divisors, whose sum is σ = 35049177153536. Its totient is φ = 1872659865600.

The previous prime is 8232219475189. The next prime is 8232219475201. The reversal of 8232219475200 is 25749122328.

8232219475200 is a `hidden beast` number, since 8 + 2 + 32 + 2 + 1 + 94 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8232219475201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2427665505 + ... + 2427668895.

Almost surely, 2^{8232219475200} is an apocalyptic number.

8232219475200 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 8232219475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524588576768).

8232219475200 is an abundant number, since it is smaller than the sum of its proper divisors (26816957678336).

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

8232219475200 is a wasteful number, since it uses less digits than its factorization.

8232219475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 8232219475200 in words is "eight trillion, two hundred thirty-two billion, two hundred nineteen million, four hundred seventy-five thousand, two hundred".