9872364672 has 256 divisors, whose sum is σ = 30404160000. Its totient is φ = 3149733888.

The previous prime is 9872364599. The next prime is 9872364673. The reversal of 9872364672 is 2764632789.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9872364673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13730329 + ... + 13731047.

It is an arithmetic number, because the mean of its divisors is an integer number (118766250).

Almost surely, 2^9872364672 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 9872364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202080000).

9872364672 is an abundant number, since it is smaller than the sum of its proper divisors (20531795328).

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

9872364672 is a wasteful number, since it uses less digits than its factorization.

9872364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 890 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 9872364672 is about 99359.7739127863. The cubic root of 9872364672 is about 2145.2293480622.

It can be divided in two parts, 9872 and 364672, that added together give a square (374544 = 612²).

The spelling of 9872364672 in words is "nine billion, eight hundred seventy-two million, three hundred sixty-four thousand, six hundred seventy-two".