813229320960 has 1728 divisors, whose sum is σ = 3579276460032. Its totient is φ = 172565987328.

The previous prime is 813229320947. The next prime is 813229320961. The reversal of 813229320960 is 69023922318.

It is a happy number.

813229320960 is a `hidden beast` number, since 8 + 13 + 229 + 320 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×813229320960² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (813229320961) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4700747434 + ... + 4700747606.

It is an arithmetic number, because the mean of its divisors is an integer number (2071340544).

Almost surely, 2^813229320960 is an apocalyptic number.

813229320960 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 813229320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789638230016).

813229320960 is an abundant number, since it is smaller than the sum of its proper divisors (2766047139072).

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

813229320960 is a wasteful number, since it uses less digits than its factorization.

813229320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 813229320960 in words is "eight hundred thirteen billion, two hundred twenty-nine million, three hundred twenty thousand, nine hundred sixty".