76409519630625 has 60 divisors (see below), whose sum is σ = 138156515916276. Its totient is φ = 40681115136000.

The previous prime is 76409519630519. The next prime is 76409519630641. The reversal of 76409519630625 is 52603691590467.

76409519630625 is a `hidden beast` number, since 7 + 6 + 409 + 5 + 196 + 30 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 31010007607569 + 45399512023056 = 5568663^2 + 6737916^2 .

It is not a de Polignac number, because 76409519630625 - 2⁸ = 76409519630369 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8525532 + ... + 15016781.

Almost surely, 2^{76409519630625} is an apocalyptic number.

76409519630625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76409519630625 is a deficient number, since it is larger than the sum of its proper divisors (61746996285651).

76409519630625 is a wasteful number, since it uses less digits than its factorization.

76409519630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23542916 (or 23542898 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 76409519630625 in words is "seventy-six trillion, four hundred nine billion, five hundred nineteen million, six hundred thirty thousand, six hundred twenty-five".