9749134080 has 1080 divisors, whose sum is σ = 43138252080. Its totient is φ = 2090188800.

The previous prime is 9749134079. The next prime is 9749134081. The reversal of 9749134080 is 804319479.

It is an interprime number because it is at equal distance from previous prime (9749134079) and next prime (9749134081).

It is a tau number, because it is divible by the number of its divisors (1080).

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 (9749134081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96526030 + ... + 96526130.

It is an arithmetic number, because the mean of its divisors is an integer number (39942826).

Almost surely, 2^9749134080 is an apocalyptic number.

9749134080 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 9749134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21569126040).

9749134080 is an abundant number, since it is smaller than the sum of its proper divisors (33389118000).

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

9749134080 is a wasteful number, since it uses less digits than its factorization.

9749134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

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

The square root of 9749134080 is about 98737.7034369344. The cubic root of 9749134080 is about 2136.2660948637.

The spelling of 9749134080 in words is "nine billion, seven hundred forty-nine million, one hundred thirty-four thousand, eighty".