5475362400 has 288 divisors, whose sum is σ = 20487751200. Its totient is φ = 1409587200.

The previous prime is 5475362351. The next prime is 5475362407. The reversal of 5475362400 is 42635745.

5475362400 is a `hidden beast` number, since 547 + 53 + 62 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5475362400² = 59959186822667520000, which contains 22 as substring.

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 (5475362407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622030 + ... + 630770.

It is an arithmetic number, because the mean of its divisors is an integer number (71138025).

Almost surely, 2^5475362400 is an apocalyptic number.

5475362400 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 5475362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10243875600).

5475362400 is an abundant number, since it is smaller than the sum of its proper divisors (15012388800).

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

5475362400 is a wasteful number, since it uses less digits than its factorization.

5475362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5475362400 is about 73995.6917664806. The cubic root of 5475362400 is about 1762.5344855181.

The spelling of 5475362400 in words is "five billion, four hundred seventy-five million, three hundred sixty-two thousand, four hundred".