9764447616 has 576 divisors, whose sum is σ = 36617967360. Its totient is φ = 2519424000.

The previous prime is 9764447603. The next prime is 9764447621. The reversal of 9764447616 is 6167444679.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64665141 + ... + 64665291.

It is an arithmetic number, because the mean of its divisors is an integer number (63572860).

Almost surely, 2^9764447616 is an apocalyptic number.

9764447616 is a gapful number since it is divisible by the number (96) 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 9764447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308983680).

9764447616 is an abundant number, since it is smaller than the sum of its proper divisors (26853519744).

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

9764447616 is an equidigital number, since it uses as much as digits as its factorization.

9764447616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 174 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 9764447616 is about 98815.2195565035. The cubic root of 9764447616 is about 2137.3840291651.

The spelling of 9764447616 in words is "nine billion, seven hundred sixty-four million, four hundred forty-seven thousand, six hundred sixteen".