8672163160320 has 1296 divisors, whose sum is σ = 35309999402496. Its totient is φ = 2034251366400.

The previous prime is 8672163160303. The next prime is 8672163160369. The reversal of 8672163160320 is 230613612768.

8672163160320 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 1 + 6 + 31 + 603 + 2 + 0 = 666.

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

It is a super-2 number, since 2×8672163160320² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1166707324 + ... + 1166714756.

Almost surely, 2^{8672163160320} is an apocalyptic number.

8672163160320 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 8672163160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654999701248).

8672163160320 is an abundant number, since it is smaller than the sum of its proper divisors (26637836242176).

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

8672163160320 is a wasteful number, since it uses less digits than its factorization.

8672163160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 8672163160320 in words is "eight trillion, six hundred seventy-two billion, one hundred sixty-three million, one hundred sixty thousand, three hundred twenty".