7161684480 has 480 divisors, whose sum is σ = 26392025088. Its totient is φ = 1791590400.

The previous prime is 7161684403. The next prime is 7161684493. The reversal of 7161684480 is 844861617.

7161684480 is a `hidden beast` number, since 7 + 1 + 6 + 168 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26426745 + ... + 26427015.

Almost surely, 2^7161684480 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 7161684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13196012544).

7161684480 is an abundant number, since it is smaller than the sum of its proper divisors (19230340608).

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

7161684480 is a wasteful number, since it uses less digits than its factorization.

7161684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7161684480 is about 84626.7362008012. The cubic root of 7161684480 is about 1927.5473762876.

The spelling of 7161684480 in words is "seven billion, one hundred sixty-one million, six hundred eighty-four thousand, four hundred eighty".