77944921560576 has 640 divisors, whose sum is σ = 269962242739200. Its totient is φ = 21740193054720.

The previous prime is 77944921560481. The next prime is 77944921560577. The reversal of 77944921560576 is 67506512944977.

77944921560576 is a `hidden beast` number, since 7 + 7 + 9 + 4 + 4 + 9 + 2 + 1 + 5 + 605 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77944921560577) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9940682416 + ... + 9940690256.

It is an arithmetic number, because the mean of its divisors is an integer number (421816004280).

Almost surely, 2^{77944921560576} 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 77944921560576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134981121369600).

77944921560576 is an abundant number, since it is smaller than the sum of its proper divisors (192017321178624).

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

77944921560576 is a wasteful number, since it uses less digits than its factorization.

77944921560576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10285 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 77944921560576 in words is "seventy-seven trillion, nine hundred forty-four billion, nine hundred twenty-one million, five hundred sixty thousand, five hundred seventy-six".