5264742400 has 216 divisors, whose sum is σ = 13614089580. Its totient is φ = 2018918400.

The previous prime is 5264742361. The next prime is 5264742419. The reversal of 5264742400 is 42474625.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49203147 + ... + 49203253.

Almost surely, 2^5264742400 is an apocalyptic number.

5264742400 is a gapful number since it is divisible by the number (50) 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 5264742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807044790).

5264742400 is an abundant number, since it is smaller than the sum of its proper divisors (8349347180).

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

5264742400 is a wasteful number, since it uses less digits than its factorization.

5264742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 5264742400 is about 72558.5446381059. The cubic root of 5264742400 is about 1739.6386266750.

The spelling of 5264742400 in words is "five billion, two hundred sixty-four million, seven hundred forty-two thousand, four hundred".