8230949773200 has 1440 divisors, whose sum is σ = 39134441664000. Its totient is φ = 1620288230400.

The previous prime is 8230949773171. The next prime is 8230949773213. The reversal of 8230949773200 is 23779490328.

8230949773200 is a `hidden beast` number, since 8 + 2 + 309 + 4 + 9 + 7 + 7 + 320 + 0 = 666.

It is a super-2 number, since 2×8230949773200² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110565591 + ... + 110640009.

It is an arithmetic number, because the mean of its divisors is an integer number (27176695600).

Almost surely, 2^{8230949773200} is an apocalyptic number.

8230949773200 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 8230949773200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19567220832000).

8230949773200 is an abundant number, since it is smaller than the sum of its proper divisors (30903491890800).

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

8230949773200 is a wasteful number, since it uses less digits than its factorization.

8230949773200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74490 (or 74466 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 8230949773200 in words is "eight trillion, two hundred thirty billion, nine hundred forty-nine million, seven hundred seventy-three thousand, two hundred".