9764821440 has 672 divisors, whose sum is σ = 38678095872. Its totient is φ = 2239488000.

The previous prime is 9764821393. The next prime is 9764821519. The reversal of 9764821440 is 441284679.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 59906799 + ... + 59906961.

Almost surely, 2^9764821440 is an apocalyptic number.

9764821440 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 9764821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339047936).

9764821440 is an abundant number, since it is smaller than the sum of its proper divisors (28913274432).

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

9764821440 is a wasteful number, since it uses less digits than its factorization.

9764821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 9764821440 is about 98817.1110688832. Note that the first 3 decimals coincide. The cubic root of 9764821440 is about 2137.4113048248.

It can be divided in two parts, 976 and 4821440, that added together give a square (4822416 = 2196²).

The spelling of 9764821440 in words is "nine billion, seven hundred sixty-four million, eight hundred twenty-one thousand, four hundred forty".