76643264448 has 112 divisors (see below), whose sum is σ = 226114620160. Its totient is φ = 25457317632.

The previous prime is 76643264441. The next prime is 76643264461. The reversal of 76643264448 is 84446234667.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76643264394 and 76643264403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76643264441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 410661 + ... + 567387.

Almost surely, 2^76643264448 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 76643264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113057310080).

76643264448 is an abundant number, since it is smaller than the sum of its proper divisors (149471355712).

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

76643264448 is a wasteful number, since it uses less digits than its factorization.

76643264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157031 (or 157015 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 76643264448 in words is "seventy-six billion, six hundred forty-three million, two hundred sixty-four thousand, four hundred forty-eight".