9680077440 has 1152 divisors, whose sum is σ = 41902660800. Its totient is φ = 2043740160.

The previous prime is 9680077403. The next prime is 9680077441. The reversal of 9680077440 is 447700869.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (9680077441) 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 143 ways as a sum of consecutive naturals, for example, 225118059 + ... + 225118101.

Almost surely, 2^9680077440 is an apocalyptic number.

9680077440 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 9680077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951330400).

9680077440 is an abundant number, since it is smaller than the sum of its proper divisors (32222583360).

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

9680077440 is a wasteful number, since it uses less digits than its factorization.

9680077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 9680077440 is about 98387.3845571677. The cubic root of 9680077440 is about 2131.2101567300.

The spelling of 9680077440 in words is "nine billion, six hundred eighty million, seventy-seven thousand, four hundred forty".