75480647130 has 144 divisors (see below), whose sum is σ = 234460965960. Its totient is φ = 16786393344.

The previous prime is 75480647129. The next prime is 75480647171. The reversal of 75480647130 is 3174608457.

75480647130 is a `hidden beast` number, since 7 + 548 + 0 + 6 + 4 + 71 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75460639401 + 20007729 = 274701^2 + 4473^2 .

It is a super-3 number, since 3×75480647130³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68125 + ... + 394464.

Almost surely, 2^75480647130 is an apocalyptic number.

75480647130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75480647130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117230482980).

75480647130 is an abundant number, since it is smaller than the sum of its proper divisors (158980318830).

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

75480647130 is a wasteful number, since it uses less digits than its factorization.

75480647130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462653 (or 462643 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 75480647130 in words is "seventy-five billion, four hundred eighty million, six hundred forty-seven thousand, one hundred thirty".