5507658000 has 240 divisors, whose sum is σ = 20717017776. Its totient is φ = 1355673600.

The previous prime is 5507657999. The next prime is 5507658007. The reversal of 5507658000 is 8567055.

5507658000 is a `hidden beast` number, since 5 + 5 + 0 + 76 + 580 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3321908496 + 2185749504 = 57636^2 + 46752^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5507658007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222232 + ... + 245768.

Almost surely, 2^5507658000 is an apocalyptic number.

5507658000 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 5507658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358508888).

5507658000 is an abundant number, since it is smaller than the sum of its proper divisors (15209359776).

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

5507658000 is a wasteful number, since it uses less digits than its factorization.

5507658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23579 (or 23560 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5507658000 is about 74213.5971369129. The cubic root of 5507658000 is about 1765.9930424977.

The spelling of 5507658000 in words is "five billion, five hundred seven million, six hundred fifty-eight thousand".