9749076480 has 720 divisors, whose sum is σ = 40115635560. Its totient is φ = 2173501440.

The previous prime is 9749076451. The next prime is 9749076497. The reversal of 9749076480 is 846709479.

It is a happy number.

9749076480 is a `hidden beast` number, since 9 + 7 + 4 + 90 + 76 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3559792896 + 6189283584 = 59664^2 + 78672^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 36241786 + ... + 36242054.

Almost surely, 2^9749076480 is an apocalyptic number.

9749076480 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 9749076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057817780).

9749076480 is an abundant number, since it is smaller than the sum of its proper divisors (30366559080).

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

9749076480 is a wasteful number, since it uses less digits than its factorization.

9749076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9749076480 is about 98737.4117546131. The cubic root of 9749076480 is about 2136.2618876808.

The spelling of 9749076480 in words is "nine billion, seven hundred forty-nine million, seventy-six thousand, four hundred eighty".