42776059264 has 64 divisors (see below), whose sum is σ = 86365440000. Its totient is φ = 21100759552.

The previous prime is 42776059247. The next prime is 42776059301. The reversal of 42776059264 is 46295067724.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8911137 + ... + 8915935.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460000).

Almost surely, 2^42776059264 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 42776059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720000).

42776059264 is an abundant number, since it is smaller than the sum of its proper divisors (43589380736).

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

42776059264 is an equidigital number, since it uses as much as digits as its factorization.

42776059264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 42776059264 in words is "forty-two billion, seven hundred seventy-six million, fifty-nine thousand, two hundred sixty-four".