7905670560 has 144 divisors (see below), whose sum is σ = 27038891880. Its totient is φ = 2103429120.

The previous prime is 7905670547. The next prime is 7905670567. The reversal of 7905670560 is 650765097.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5096246544 + 2809424016 = 71388^2 + 53004^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (7905670567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657886 + ... + 669794.

Almost surely, 2^7905670560 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 7905670560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519445940).

7905670560 is an abundant number, since it is smaller than the sum of its proper divisors (19133221320).

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

7905670560 is a wasteful number, since it uses less digits than its factorization.

7905670560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 7905670560 is about 88913.8378431614. The cubic root of 7905670560 is about 1992.1081133561.

The spelling of 7905670560 in words is "seven billion, nine hundred five million, six hundred seventy thousand, five hundred sixty".