7086160440 has 192 divisors, whose sum is σ = 23882040000. Its totient is φ = 1820055552.

The previous prime is 7086160429. The next prime is 7086160457. The reversal of 7086160440 is 440616807.

7086160440 is a `hidden beast` number, since 7 + 0 + 8 + 6 + 1 + 604 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7086160395 and 7086160404.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8445541 + ... + 8446379.

It is an arithmetic number, because the mean of its divisors is an integer number (124385625).

Almost surely, 2^7086160440 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 7086160440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941020000).

7086160440 is an abundant number, since it is smaller than the sum of its proper divisors (16795879560).

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

7086160440 is a wasteful number, since it uses less digits than its factorization.

7086160440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7086160440 is about 84179.3349938095. The cubic root of 7086160440 is about 1920.7477230925.

The spelling of 7086160440 in words is "seven billion, eighty-six million, one hundred sixty thousand, four hundred forty".