9764080480 has 288 divisors, whose sum is σ = 29287621440. Its totient is φ = 3010867200.

The previous prime is 9764080463. The next prime is 9764080481. The reversal of 9764080480 is 840804679.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9764080480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9764080481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14771350 + ... + 14772010.

It is an arithmetic number, because the mean of its divisors is an integer number (101693130).

Almost surely, 2^9764080480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9764080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14643810720).

9764080480 is an abundant number, since it is smaller than the sum of its proper divisors (19523540960).

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

9764080480 is a wasteful number, since it uses less digits than its factorization.

9764080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 9764080480 is about 98813.3618494989. The cubic root of 9764080480 is about 2137.3572408105.

The spelling of 9764080480 in words is "nine billion, seven hundred sixty-four million, eighty thousand, four hundred eighty".