5507058240 has 448 divisors, whose sum is σ = 20775168000. Its totient is φ = 1370234880.

The previous prime is 5507058239. The next prime is 5507058241. The reversal of 5507058240 is 428507055.

It is a happy number.

5507058240 is a `hidden beast` number, since 5 + 5 + 0 + 70 + 582 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5507058239) and next prime (5507058241).

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

It is a junction number, because it is equal to n+sod(n) for n = 5507058195 and 5507058204.

It is not an unprimeable number, because it can be changed into a prime (5507058241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7767006 + ... + 7767714.

Almost surely, 2^5507058240 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 5507058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10387584000).

5507058240 is an abundant number, since it is smaller than the sum of its proper divisors (15268109760).

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

5507058240 is a wasteful number, since it uses less digits than its factorization.

5507058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5507058240 is about 74209.5562579376. The cubic root of 5507058240 is about 1765.9289371837.

The spelling of 5507058240 in words is "five billion, five hundred seven million, fifty-eight thousand, two hundred forty".