5507481600 has 480 divisors, whose sum is σ = 20649029940. Its totient is φ = 1450967040.

The previous prime is 5507481589. The next prime is 5507481601. The reversal of 5507481600 is 61847055.

5507481600 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (5507481601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66355159 + ... + 66355241.

Almost surely, 2^5507481600 is an apocalyptic number.

5507481600 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 5507481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324514970).

5507481600 is an abundant number, since it is smaller than the sum of its proper divisors (15141548340).

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

5507481600 is an frugal number, since it uses more digits than its factorization.

5507481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5507481600 is about 74212.4086659367. The cubic root of 5507481600 is about 1765.9741884767.

The spelling of 5507481600 in words is "five billion, five hundred seven million, four hundred eighty-one thousand, six hundred".