5068202400 has 648 divisors, whose sum is σ = 19813981824. Its totient is φ = 1262822400.

The previous prime is 5068202393. The next prime is 5068202407. The reversal of 5068202400 is 42028605.

5068202400 is a `hidden beast` number, since 50 + 6 + 8 + 202 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5068202393) and next prime (5068202407).

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5068202407) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 163490385 + ... + 163490415.

Almost surely, 2^5068202400 is an apocalyptic number.

5068202400 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 5068202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906990912).

5068202400 is an abundant number, since it is smaller than the sum of its proper divisors (14745779424).

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

5068202400 is a wasteful number, since it uses less digits than its factorization.

5068202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5068202400 is about 71191.3084582662. The cubic root of 5068202400 is about 1717.7158249783.

The spelling of 5068202400 in words is "five billion, sixty-eight million, two hundred two thousand, four hundred".