9740314080 has 864 divisors, whose sum is σ = 41122867968. Its totient is φ = 2090188800.

The previous prime is 9740314079. The next prime is 9740314097. The reversal of 9740314080 is 804130479.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133428924 + ... + 133428996.

It is an arithmetic number, because the mean of its divisors is an integer number (47595912).

Almost surely, 2^9740314080 is an apocalyptic number.

9740314080 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 9740314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20561433984).

9740314080 is an abundant number, since it is smaller than the sum of its proper divisors (31382553888).

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

9740314080 is a wasteful number, since it uses less digits than its factorization.

9740314080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9740314080 is about 98693.0295410978. The cubic root of 9740314080 is about 2135.6216768838.

The spelling of 9740314080 in words is "nine billion, seven hundred forty million, three hundred fourteen thousand, eighty".