7605262368 has 432 divisors, whose sum is σ = 25253635680. Its totient is φ = 2249026560.

The previous prime is 7605262349. The next prime is 7605262387. The reversal of 7605262368 is 8632625067.

It is a happy number.

7605262368 is a `hidden beast` number, since 7 + 60 + 526 + 2 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (7605262349) and next prime (7605262387).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×7605262368² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 55512796 + ... + 55512932.

It is an arithmetic number, because the mean of its divisors is an integer number (58457490).

Almost surely, 2^7605262368 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 7605262368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626817840).

7605262368 is an abundant number, since it is smaller than the sum of its proper divisors (17648373312).

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

7605262368 is a wasteful number, since it uses less digits than its factorization.

7605262368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 7605262368 is about 87208.1553984488. The cubic root of 7605262368 is about 1966.5488260843.

The spelling of 7605262368 in words is "seven billion, six hundred five million, two hundred sixty-two thousand, three hundred sixty-eight".