76668849405625 has 45 divisors (see below), whose sum is σ = 97193473913019. Its totient is φ = 60458946660000.

The previous prime is 76668849405623. The next prime is 76668849405647. The reversal of 76668849405625 is 52650494886667.

The square root of 76668849405625 is 8756075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 69589014052009 + 7079835353616 = 8342003^2 + 2660796^2 .

It is not a de Polignac number, because 76668849405625 - 2¹ = 76668849405623 is a prime.

It is a super-2 number, since 2×76668849405625² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76668849405623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15542030659 + ... + 15542035591.

Almost surely, 2^{76668849405625} is an apocalyptic number.

76668849405625 is the 8756075-th square number.

76668849405625 is the 4378038-th centered octagonal number.

It is an amenable number.

76668849405625 is a deficient number, since it is larger than the sum of its proper divisors (20524624507394).

76668849405625 is an frugal number, since it uses more digits than its factorization.

76668849405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 76.

The spelling of 76668849405625 in words is "seventy-six trillion, six hundred sixty-eight billion, eight hundred forty-nine million, four hundred five thousand, six hundred twenty-five".