5306376768 has 224 divisors, whose sum is σ = 17627486208. Its totient is φ = 1368576000.

The previous prime is 5306376767. The next prime is 5306376781. The reversal of 5306376768 is 8676736035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 5306376768.

It is not an unprimeable number, because it can be changed into a prime (5306376767) 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, 2231196 + ... + 2233572.

Almost surely, 2^5306376768 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 5306376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813743104).

5306376768 is an abundant number, since it is smaller than the sum of its proper divisors (12321109440).

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

5306376768 is a wasteful number, since it uses less digits than its factorization.

5306376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The square root of 5306376768 is about 72844.8815497699. The cubic root of 5306376768 is about 1744.2123650718.

The spelling of 5306376768 in words is "five billion, three hundred six million, three hundred seventy-six thousand, seven hundred sixty-eight".