5507772480 has 504 divisors, whose sum is σ = 22766365440. Its totient is φ = 1217341440.

The previous prime is 5507772469. The next prime is 5507772509. The reversal of 5507772480 is 842777055.

5507772480 is a `hidden beast` number, since 550 + 7 + 77 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4374091 + ... + 4375349.

It is an arithmetic number, because the mean of its divisors is an integer number (45171360).

Almost surely, 2^5507772480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5507772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383182720).

5507772480 is an abundant number, since it is smaller than the sum of its proper divisors (17258592960).

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

5507772480 is a wasteful number, since it uses less digits than its factorization.

5507772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The square root of 5507772480 is about 74214.3684201382. The cubic root of 5507772480 is about 1766.0052781571.

The spelling of 5507772480 in words is "five billion, five hundred seven million, seven hundred seventy-two thousand, four hundred eighty".