7182195840 has 288 divisors, whose sum is σ = 25242120540. Its totient is φ = 1881722880.

The previous prime is 7182195803. The next prime is 7182195899. The reversal of 7182195840 is 485912817.

It can be written as a sum of positive squares in 2 ways, for example, as 6035425344 + 1146770496 = 77688^2 + 33864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7182195840² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39680550 + ... + 39680730.

Almost surely, 2^7182195840 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 7182195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621060270).

7182195840 is an abundant number, since it is smaller than the sum of its proper divisors (18059924700).

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

7182195840 is a wasteful number, since it uses less digits than its factorization.

7182195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 7182195840 is about 84747.8367865517. The cubic root of 7182195840 is about 1929.3858140355.

The spelling of 7182195840 in words is "seven billion, one hundred eighty-two million, one hundred ninety-five thousand, eight hundred forty".