7336090125 has 288 divisors, whose sum is σ = 17186813280. Its totient is φ = 2980454400.

The previous prime is 7336090117. The next prime is 7336090127. The reversal of 7336090125 is 5210906337.

7336090125 is a `hidden beast` number, since 7 + 33 + 609 + 0 + 12 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6509585124 + 826505001 = 80682^2 + 28749^2 .

It is not a de Polignac number, because 7336090125 - 2³ = 7336090117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7336090125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7336090127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20781949 + ... + 20782301.

It is an arithmetic number, because the mean of its divisors is an integer number (59676435).

Almost surely, 2^7336090125 is an apocalyptic number.

7336090125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7336090125 is an abundant number, since it is smaller than the sum of its proper divisors (9850723155).

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

7336090125 is a wasteful number, since it uses less digits than its factorization.

7336090125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 7336090125 is about 85650.9785408200. The cubic root of 7336090125 is about 1943.0689835523.

The spelling of 7336090125 in words is "seven billion, three hundred thirty-six million, ninety thousand, one hundred twenty-five".