5617468800 has 384 divisors, whose sum is σ = 20843904000. Its totient is φ = 1477232640.

The previous prime is 5617468793. The next prime is 5617468823. The reversal of 5617468800 is 88647165.

It is a happy number.

5617468800 is a `hidden beast` number, since 561 + 7 + 4 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6825189 + ... + 6826011.

It is an arithmetic number, because the mean of its divisors is an integer number (54281000).

Almost surely, 2^5617468800 is an apocalyptic number.

5617468800 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 5617468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10421952000).

5617468800 is an abundant number, since it is smaller than the sum of its proper divisors (15226435200).

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

5617468800 is a wasteful number, since it uses less digits than its factorization.

5617468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5617468800 is about 74949.7751831185. The cubic root of 5617468800 is about 1777.6525888697.

The spelling of 5617468800 in words is "five billion, six hundred seventeen million, four hundred sixty-eight thousand, eight hundred".