5370624000 has 960 divisors, whose sum is σ = 23498354880. Its totient is φ = 1194393600.

The previous prime is 5370623987. The next prime is 5370624001. The reversal of 5370624000 is 4260735.

It is a happy number.

5370624000 is a `hidden beast` number, since 5 + 37 + 0 + 624 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370624001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145151982 + ... + 145152018.

It is an arithmetic number, because the mean of its divisors is an integer number (24477453).

Almost surely, 2^5370624000 is an apocalyptic number.

5370624000 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 5370624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749177440).

5370624000 is an abundant number, since it is smaller than the sum of its proper divisors (18127730880).

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

5370624000 is an equidigital number, since it uses as much as digits as its factorization.

5370624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5370624000 is about 73284.5413439970. The cubic root of 5370624000 is about 1751.2235253163.

Adding to 5370624000 its reverse (4260735), we get a palindrome (5374884735).

The spelling of 5370624000 in words is "five billion, three hundred seventy million, six hundred twenty-four thousand".