7180825344 has 648 divisors, whose sum is σ = 26032547520. Its totient is φ = 1745694720.

The previous prime is 7180825273. The next prime is 7180825349. The reversal of 7180825344 is 4435280817.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7180825296 and 7180825305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7180825349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86515927 + ... + 86516009.

Almost surely, 2^7180825344 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 7180825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016273760).

7180825344 is an abundant number, since it is smaller than the sum of its proper divisors (18851722176).

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

7180825344 is a wasteful number, since it uses less digits than its factorization.

7180825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 7180825344 is about 84739.7506722789. The cubic root of 7180825344 is about 1929.2630853786.

The spelling of 7180825344 in words is "seven billion, one hundred eighty million, eight hundred twenty-five thousand, three hundred forty-four".