9764889120 has 384 divisors, whose sum is σ = 39474086400. Its totient is φ = 2208301056.

The previous prime is 9764889103. The next prime is 9764889137. The reversal of 9764889120 is 219884679.

9764889120 is a `hidden beast` number, since 9 + 76 + 488 + 91 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9764889103) and next prime (9764889137).

It is a super-3 number, since 3×9764889120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2931616 + ... + 2934944.

It is an arithmetic number, because the mean of its divisors is an integer number (102797100).

Almost surely, 2^9764889120 is an apocalyptic number.

9764889120 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 9764889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19737043200).

9764889120 is an abundant number, since it is smaller than the sum of its proper divisors (29709197280).

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

9764889120 is a wasteful number, since it uses less digits than its factorization.

9764889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9764889120 is about 98817.4535191026. The cubic root of 9764889120 is about 2137.4162429477.

The spelling of 9764889120 in words is "nine billion, seven hundred sixty-four million, eight hundred eighty-nine thousand, one hundred twenty".