5472416000 has 144 divisors (see below), whose sum is σ = 14104949040. Its totient is φ = 2113126400.

The previous prime is 5472415937. The next prime is 5472416003. The reversal of 5472416000 is 6142745.

It can be written as a sum of positive squares in 8 ways, for example, as 623800576 + 4848615424 = 24976^2 + 69632^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (5472416003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 925052 + ... + 930948.

It is an arithmetic number, because the mean of its divisors is an integer number (97951035).

Almost surely, 2^5472416000 is an apocalyptic number.

5472416000 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 5472416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052474520).

5472416000 is an abundant number, since it is smaller than the sum of its proper divisors (8632533040).

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

5472416000 is an equidigital number, since it uses as much as digits as its factorization.

5472416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5957 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 5472416000 is about 73975.7798201547. The cubic root of 5472416000 is about 1762.2182773224.

Adding to 5472416000 its reverse (6142745), we get a palindrome (5478558745).

The spelling of 5472416000 in words is "five billion, four hundred seventy-two million, four hundred sixteen thousand".