5084726400 has 576 divisors, whose sum is σ = 20303075520. Its totient is φ = 1249136640.

The previous prime is 5084726399. The next prime is 5084726407. The reversal of 5084726400 is 46274805.

5084726400 is a `hidden beast` number, since 5 + 0 + 8 + 4 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (5084726407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10108549 + ... + 10109051.

It is an arithmetic number, because the mean of its divisors is an integer number (35248395).

Almost surely, 2^5084726400 is an apocalyptic number.

5084726400 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 5084726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151537760).

5084726400 is an abundant number, since it is smaller than the sum of its proper divisors (15218349120).

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

5084726400 is a wasteful number, since it uses less digits than its factorization.

5084726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5084726400 is about 71307.2675118042. The cubic root of 5084726400 is about 1719.5805719676.

The spelling of 5084726400 in words is "five billion, eighty-four million, seven hundred twenty-six thousand, four hundred".