7104958560 has 144 divisors (see below), whose sum is σ = 27709377696. Its totient is φ = 1623988224.

The previous prime is 7104958547. The next prime is 7104958561. The reversal of 7104958560 is 658594017.

7104958560 is a `hidden beast` number, since 7 + 1 + 0 + 4 + 9 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7104958560² (a number of 21 digits) contains 22 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 (7104958561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342349 + ... + 362508.

It is an arithmetic number, because the mean of its divisors is an integer number (192426234).

Almost surely, 2^7104958560 is an apocalyptic number.

7104958560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7104958560 is an abundant number, since it is smaller than the sum of its proper divisors (20604419136).

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

7104958560 is a wasteful number, since it uses less digits than its factorization.

7104958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704885 (or 704874 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 7104958560 is about 84290.9162365673. The cubic root of 7104958560 is about 1922.4446724168. Note that the first 3 decimals are identical.

The spelling of 7104958560 in words is "seven billion, one hundred four million, nine hundred fifty-eight thousand, five hundred sixty".