5430977568 has 72 divisors (see below), whose sum is σ = 15486726528. Its totient is φ = 1805357952.

The previous prime is 5430977561. The next prime is 5430977579. The reversal of 5430977568 is 8657790345.

5430977568 is a `hidden beast` number, since 5 + 4 + 3 + 0 + 9 + 77 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5430977561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80005 + ... + 131387.

It is an arithmetic number, because the mean of its divisors is an integer number (215093424).

Almost surely, 2^5430977568 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 5430977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743363264).

5430977568 is an abundant number, since it is smaller than the sum of its proper divisors (10055748960).

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

5430977568 is a wasteful number, since it uses less digits than its factorization.

5430977568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51766 (or 51755 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 5430977568 is about 73695.1665172147. The cubic root of 5430977568 is about 1757.7590245402.

The spelling of 5430977568 in words is "five billion, four hundred thirty million, nine hundred seventy-seven thousand, five hundred sixty-eight".