8199730611072 has 2560 divisors, whose sum is σ = 33878612275200. Its totient is φ = 1900519096320.

The previous prime is 8199730611031. The next prime is 8199730611103. The reversal of 8199730611072 is 2701160379918.

It is a happy number.

8199730611072 is a `hidden beast` number, since 8 + 19 + 9 + 7 + 3 + 0 + 611 + 0 + 7 + 2 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 59852048188 + ... + 59852048324.

It is an arithmetic number, because the mean of its divisors is an integer number (13233832920).

Almost surely, 2^{8199730611072} 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 8199730611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939306137600).

8199730611072 is an abundant number, since it is smaller than the sum of its proper divisors (25678881664128).

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

8199730611072 is a wasteful number, since it uses less digits than its factorization.

8199730611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 8199730611072 in words is "eight trillion, one hundred ninety-nine billion, seven hundred thirty million, six hundred eleven thousand, seventy-two".