7159440960 has 504 divisors, whose sum is σ = 29722754880. Its totient is φ = 1635572736.

The previous prime is 7159440947. The next prime is 7159440997. The reversal of 7159440960 is 690449517.

7159440960 is a `hidden beast` number, since 71 + 59 + 440 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809301 + ... + 3811179.

It is an arithmetic number, because the mean of its divisors is an integer number (58973720).

Almost surely, 2^7159440960 is an apocalyptic number.

7159440960 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 7159440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14861377440).

7159440960 is an abundant number, since it is smaller than the sum of its proper divisors (22563313920).

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

7159440960 is a wasteful number, since it uses less digits than its factorization.

7159440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7159440960 is about 84613.4797771608. The cubic root of 7159440960 is about 1927.3460762185.

The spelling of 7159440960 in words is "seven billion, one hundred fifty-nine million, four hundred forty thousand, nine hundred sixty".