5264378496 has 192 divisors, whose sum is σ = 16547207040. Its totient is φ = 1596672000.

The previous prime is 5264378477. The next prime is 5264378527. The reversal of 5264378496 is 6948734625.

5264378496 is a `hidden beast` number, since 5 + 264 + 378 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (8709120) is a multiple of the sum of its prime divisors (5040).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060821 + ... + 1065771.

It is an arithmetic number, because the mean of its divisors is an integer number (86183370).

Almost surely, 2^5264378496 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 5264378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273603520).

5264378496 is an abundant number, since it is smaller than the sum of its proper divisors (11282828544).

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

5264378496 is a wasteful number, since it uses less digits than its factorization.

5264378496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5040 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 5264378496 is about 72556.0369369772. The cubic root of 5264378496 is about 1739.5985439262.

The spelling of 5264378496 in words is "five billion, two hundred sixty-four million, three hundred seventy-eight thousand, four hundred ninety-six".