7601617460 has 24 divisors (see below), whose sum is σ = 16513859880. Its totient is φ = 2935796864.

The previous prime is 7601617367. The next prime is 7601617481. The reversal of 7601617460 is 647161067.

It can be written as a sum of positive squares in 4 ways, for example, as 1261954576 + 6339662884 = 35524^2 + 79622^2 .

It is a super-3 number, since 3×7601617460³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6552539 + ... + 6553698.

It is an arithmetic number, because the mean of its divisors is an integer number (688077495).

Almost surely, 2^7601617460 is an apocalyptic number.

It is an amenable number.

7601617460 is an abundant number, since it is smaller than the sum of its proper divisors (8912242420).

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

7601617460 is a wasteful number, since it uses less digits than its factorization.

7601617460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106275 (or 13106273 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 7601617460 is about 87187.2551466096. The cubic root of 7601617460 is about 1966.2346122937.

The spelling of 7601617460 in words is "seven billion, six hundred one million, six hundred seventeen thousand, four hundred sixty".