12576977743632 has 160 divisors (see below), whose sum is σ = 33816703401984. Its totient is φ = 4023475545600.

The previous prime is 12576977743613. The next prime is 12576977743637. The reversal of 12576977743632 is 23634777967521.

It is not an unprimeable number, because it can be changed into a prime (12576977743637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504742438 + ... + 504767354.

Almost surely, 2^{12576977743632} is an apocalyptic number.

12576977743632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12576977743632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16908351700992).

12576977743632 is an abundant number, since it is smaller than the sum of its proper divisors (21239725658352).

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

12576977743632 is a wasteful number, since it uses less digits than its factorization.

12576977743632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27757 (or 27751 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 69.

The spelling of 12576977743632 in words is "twelve trillion, five hundred seventy-six billion, nine hundred seventy-seven million, seven hundred forty-three thousand, six hundred thirty-two".