7805150496 has 288 divisors, whose sum is σ = 26952226560. Its totient is φ = 2182878720.

The previous prime is 7805150411. The next prime is 7805150497. The reversal of 7805150496 is 6940515087.

7805150496 is a `hidden beast` number, since 7 + 8 + 0 + 5 + 150 + 496 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7805150497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1356201 + ... + 1361943.

It is an arithmetic number, because the mean of its divisors is an integer number (93584120).

Almost surely, 2^7805150496 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 7805150496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476113280).

7805150496 is an abundant number, since it is smaller than the sum of its proper divisors (19147076064).

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

7805150496 is a wasteful number, since it uses less digits than its factorization.

7805150496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797 (or 5772 counting only the distinct ones).

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

The square root of 7805150496 is about 88346.7627929852. The cubic root of 7805150496 is about 1983.6289005231.

The spelling of 7805150496 in words is "seven billion, eight hundred five million, one hundred fifty thousand, four hundred ninety-six".