9870712416 has 72 divisors (see below), whose sum is σ = 28083215160. Its totient is φ = 3288669696.

The previous prime is 9870712399. The next prime is 9870712417. The reversal of 9870712416 is 6142170789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9870712417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705295 + ... + 719153.

It is an arithmetic number, because the mean of its divisors is an integer number (390044655).

Almost surely, 2^9870712416 is an apocalyptic number.

9870712416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9870712416 is an abundant number, since it is smaller than the sum of its proper divisors (18212502744).

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

9870712416 is a wasteful number, since it uses less digits than its factorization.

9870712416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16348 (or 16337 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 9870712416 is about 99351.4590532016. The cubic root of 9870712416 is about 2145.1096649557.

The spelling of 9870712416 in words is "nine billion, eight hundred seventy million, seven hundred twelve thousand, four hundred sixteen".