7161727104 has 576 divisors, whose sum is σ = 25734159360. Its totient is φ = 1975228416.

The previous prime is 7161727091. The next prime is 7161727109. The reversal of 7161727104 is 4017271617.

7161727104 is a `hidden beast` number, since 7 + 1 + 617 + 27 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7161727104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7161727109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56391489 + ... + 56391615.

It is an arithmetic number, because the mean of its divisors is an integer number (44677360).

Almost surely, 2^7161727104 is an apocalyptic number.

7161727104 is a gapful number since it is divisible by the number (74) 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 7161727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867079680).

7161727104 is an abundant number, since it is smaller than the sum of its proper divisors (18572432256).

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

7161727104 is a wasteful number, since it uses less digits than its factorization.

7161727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 7161727104 is about 84626.9880357324. The cubic root of 7161727104 is about 1927.5512003235.

The spelling of 7161727104 in words is "seven billion, one hundred sixty-one million, seven hundred twenty-seven thousand, one hundred four".