7165491840 has 576 divisors, whose sum is σ = 28434664440. Its totient is φ = 1656225792.

The previous prime is 7165491833. The next prime is 7165491859. The reversal of 7165491840 is 481945617.

It can be written as a sum of positive squares in 12 ways, for example, as 145733184 + 7019758656 = 12072^2 + 83784^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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, 16548264 + ... + 16548696.

Almost surely, 2^7165491840 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 7165491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217332220).

7165491840 is an abundant number, since it is smaller than the sum of its proper divisors (21269172600).

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

7165491840 is a wasteful number, since it uses less digits than its factorization.

7165491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 7165491840 is about 84649.2282303861. The cubic root of 7165491840 is about 1927.8888958777. Note that the first 4 decimals are identical.

The spelling of 7165491840 in words is "seven billion, one hundred sixty-five million, four hundred ninety-one thousand, eight hundred forty".