5726246400 has 720 divisors, whose sum is σ = 24379939584. Its totient is φ = 1303879680.

The previous prime is 5726246389. The next prime is 5726246401. The reversal of 5726246400 is 46426275.

5726246400 is a `hidden beast` number, since 5 + 7 + 2 + 6 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5726246401) 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, 21772669 + ... + 21772931.

Almost surely, 2^5726246400 is an apocalyptic number.

5726246400 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 5726246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189969792).

5726246400 is an abundant number, since it is smaller than the sum of its proper divisors (18653693184).

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

5726246400 is an equidigital number, since it uses as much as digits as its factorization.

5726246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5726246400 is about 75671.9657469000. The cubic root of 5726246400 is about 1789.0535658205.

The spelling of 5726246400 in words is "five billion, seven hundred twenty-six million, two hundred forty-six thousand, four hundred".