8171460432720 has 1440 divisors, whose sum is σ = 32545610697600. Its totient is φ = 1829249630208.

The previous prime is 8171460432677. The next prime is 8171460432727. The reversal of 8171460432720 is 272340641718.

8171460432720 is a `hidden beast` number, since 8 + 1 + 7 + 1 + 4 + 604 + 32 + 7 + 2 + 0 = 666.

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 (8171460432727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20583023562 + ... + 20583023958.

It is an arithmetic number, because the mean of its divisors is an integer number (22601118540).

Almost surely, 2^{8171460432720} is an apocalyptic number.

8171460432720 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 8171460432720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272805348800).

8171460432720 is an abundant number, since it is smaller than the sum of its proper divisors (24374150264880).

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

8171460432720 is a wasteful number, since it uses less digits than its factorization.

8171460432720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 8171460432720 in words is "eight trillion, one hundred seventy-one billion, four hundred sixty million, four hundred thirty-two thousand, seven hundred twenty".