727160071680 has 960 divisors, whose sum is σ = 3042640972800. Its totient is φ = 156784066560.

The previous prime is 727160071667. The next prime is 727160071681. The reversal of 727160071680 is 86170061727.

727160071680 is a `hidden beast` number, since 7 + 27 + 1 + 600 + 7 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×727160071680³ (a number of 37 digits) contains 333 as substring.

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 (727160071681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1100090550 + ... + 1100091210.

It is an arithmetic number, because the mean of its divisors is an integer number (3169417680).

Almost surely, 2^727160071680 is an apocalyptic number.

727160071680 is a gapful number since it is divisible by the number (70) 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 727160071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521320486400).

727160071680 is an abundant number, since it is smaller than the sum of its proper divisors (2315480901120).

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

727160071680 is a wasteful number, since it uses less digits than its factorization.

727160071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 727160071680 in words is "seven hundred twenty-seven billion, one hundred sixty million, seventy-one thousand, six hundred eighty".