5173664400 has 720 divisors, whose sum is σ = 20551684608. Its totient is φ = 1244160000.

The previous prime is 5173664341. The next prime is 5173664401. The reversal of 5173664400 is 44663715.

It is a happy number.

5173664400 is a `hidden beast` number, since 5 + 1 + 7 + 3 + 6 + 644 + 0 + 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 (5173664401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51224350 + ... + 51224450.

Almost surely, 2^5173664400 is an apocalyptic number.

5173664400 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 5173664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275842304).

5173664400 is an abundant number, since it is smaller than the sum of its proper divisors (15378020208).

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

5173664400 is a wasteful number, since it uses less digits than its factorization.

5173664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5173664400 is about 71928.1891889404. The cubic root of 5173664400 is about 1729.5485250890.

The spelling of 5173664400 in words is "five billion, one hundred seventy-three million, six hundred sixty-four thousand, four hundred".