9400872960 has 312 divisors, whose sum is σ = 33810482160. Its totient is φ = 2505572352.

The previous prime is 9400872917. The next prime is 9400872967. The reversal of 9400872960 is 692780049.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9400872967) 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 23 ways as a sum of consecutive naturals, for example, 4975696 + ... + 4977584.

It is an arithmetic number, because the mean of its divisors is an integer number (108366930).

Almost surely, 2^9400872960 is an apocalyptic number.

9400872960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9400872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905241080).

9400872960 is an abundant number, since it is smaller than the sum of its proper divisors (24409609200).

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

9400872960 is an equidigital number, since it uses as much as digits as its factorization.

9400872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1899 counting only the distinct ones).

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

The square root of 9400872960 is about 96958.0989912653. The cubic root of 9400872960 is about 2110.5196237509.

The spelling of 9400872960 in words is "nine billion, four hundred million, eight hundred seventy-two thousand, nine hundred sixty".