5607510480 has 480 divisors, whose sum is σ = 22374817920. Its totient is φ = 1240657920.

The previous prime is 5607510457. The next prime is 5607510487. The reversal of 5607510480 is 840157065.

5607510480 is a `hidden beast` number, since 5 + 60 + 7 + 510 + 4 + 80 = 666.

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 (5607510487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11016466 + ... + 11016974.

It is an arithmetic number, because the mean of its divisors is an integer number (46614204).

Almost surely, 2^5607510480 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 5607510480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187408960).

5607510480 is an abundant number, since it is smaller than the sum of its proper divisors (16767307440).

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

5607510480 is a wasteful number, since it uses less digits than its factorization.

5607510480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

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

The square root of 5607510480 is about 74883.3124267350. The cubic root of 5607510480 is about 1776.6015280399.

The spelling of 5607510480 in words is "five billion, six hundred seven million, five hundred ten thousand, four hundred eighty".