65776826304 has 336 divisors, whose sum is σ = 225471337728. Its totient is φ = 18623582208.

The previous prime is 65776826303. The next prime is 65776826327. The reversal of 65776826304 is 40362867756.

65776826304 is a `hidden beast` number, since 6 + 577 + 6 + 8 + 2 + 63 + 0 + 4 = 666.

65776826304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65776826303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12298959 + ... + 12304305.

It is an arithmetic number, because the mean of its divisors is an integer number (671045648).

Almost surely, 2^65776826304 is an apocalyptic number.

65776826304 is a gapful number since it is divisible by the number (64) 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 65776826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112735668864).

65776826304 is an abundant number, since it is smaller than the sum of its proper divisors (159694511424).

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

65776826304 is a wasteful number, since it uses less digits than its factorization.

65776826304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5494 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 65776826304 in words is "sixty-five billion, seven hundred seventy-six million, eight hundred twenty-six thousand, three hundred four".