76444614252 has 72 divisors (see below), whose sum is σ = 196582211280. Its totient is φ = 25040465280.

The previous prime is 76444614241. The next prime is 76444614271. The reversal of 76444614252 is 25241644467.

It is a happy number.

76444614252 is a `hidden beast` number, since 7 + 6 + 4 + 4 + 4 + 614 + 25 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 76444614198 and 76444614207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8179102 + ... + 8188442.

It is an arithmetic number, because the mean of its divisors is an integer number (2730308490).

Almost surely, 2^76444614252 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 76444614252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98291105640).

76444614252 is an abundant number, since it is smaller than the sum of its proper divisors (120137597028).

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

76444614252 is a wasteful number, since it uses less digits than its factorization.

76444614252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13263 (or 13258 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 76444614252 in words is "seventy-six billion, four hundred forty-four million, six hundred fourteen thousand, two hundred fifty-two".