5147726400 has 504 divisors, whose sum is σ = 19088465760. Its totient is φ = 1314938880.

The previous prime is 5147726383. The next prime is 5147726431. The reversal of 5147726400 is 46277415.

5147726400 is a `hidden beast` number, since 5 + 1 + 4 + 7 + 7 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 62020759 + ... + 62020841.

It is an arithmetic number, because the mean of its divisors is an integer number (37873940).

Almost surely, 2^5147726400 is an apocalyptic number.

5147726400 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 5147726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9544232880).

5147726400 is an abundant number, since it is smaller than the sum of its proper divisors (13940739360).

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

5147726400 is a wasteful number, since it uses less digits than its factorization.

5147726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 5147726400 is about 71747.6578014920. The cubic root of 5147726400 is about 1726.6533360794.

It can be divided in two parts, 51477 and 26400, that added together give a palindrome (77877).

The spelling of 5147726400 in words is "five billion, one hundred forty-seven million, seven hundred twenty-six thousand, four hundred".