5447564400 has 120 divisors (see below), whose sum is σ = 17746364160. Its totient is φ = 1428043520.

The previous prime is 5447564399. The next prime is 5447564449. The reversal of 5447564400 is 44657445.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32329 + ... + 109271.

It is an arithmetic number, because the mean of its divisors is an integer number (147886368).

Almost surely, 2^5447564400 is an apocalyptic number.

5447564400 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 5447564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873182080).

5447564400 is an abundant number, since it is smaller than the sum of its proper divisors (12298799760).

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

5447564400 is a wasteful number, since it uses less digits than its factorization.

5447564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77023 (or 77012 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The square root of 5447564400 is about 73807.6174930474. The cubic root of 5447564400 is about 1759.5466721570.

The spelling of 5447564400 in words is "five billion, four hundred forty-seven million, five hundred sixty-four thousand, four hundred".