5507577504 has 504 divisors, whose sum is σ = 19355438592. Its totient is φ = 1528450560.

The previous prime is 5507577487. The next prime is 5507577527. The reversal of 5507577504 is 4057757055.

It is a happy number.

5507577504 is a `hidden beast` number, since 5 + 5 + 0 + 75 + 77 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5507577504.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43366689 + ... + 43366815.

It is an arithmetic number, because the mean of its divisors is an integer number (38403648).

Almost surely, 2^5507577504 is an apocalyptic number.

5507577504 is a gapful number since it is divisible by the number (54) 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 5507577504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677719296).

5507577504 is an abundant number, since it is smaller than the sum of its proper divisors (13847861088).

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

5507577504 is a wasteful number, since it uses less digits than its factorization.

5507577504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 857500, while the sum is 45.

The square root of 5507577504 is about 74213.0548084365. The cubic root of 5507577504 is about 1765.9844389576.

The spelling of 5507577504 in words is "five billion, five hundred seven million, five hundred seventy-seven thousand, five hundred four".