9876416130 has 128 divisors (see below), whose sum is σ = 30285158400. Its totient is φ = 2243547072.

The previous prime is 9876416089. The next prime is 9876416153. The reversal of 9876416130 is 316146789.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 292041 + ... + 324099.

It is an arithmetic number, because the mean of its divisors is an integer number (236602800).

Almost surely, 2^9876416130 is an apocalyptic number.

9876416130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9876416130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142579200).

9876416130 is an abundant number, since it is smaller than the sum of its proper divisors (20408742270).

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

9876416130 is a wasteful number, since it uses less digits than its factorization.

9876416130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32245 (or 32239 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9876416130 is about 99380.1596396383. The cubic root of 9876416130 is about 2145.5227636804.

The spelling of 9876416130 in words is "nine billion, eight hundred seventy-six million, four hundred sixteen thousand, one hundred thirty".