9688465416 has 96 divisors (see below), whose sum is σ = 28425371040. Its totient is φ = 2743598592.

The previous prime is 9688465411. The next prime is 9688465469. The reversal of 9688465416 is 6145648869.

It is a super-3 number, since 3×9688465416³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9688465411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96435 + ... + 169341.

It is an arithmetic number, because the mean of its divisors is an integer number (296097615).

Almost surely, 2^9688465416 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 9688465416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212685520).

9688465416 is an abundant number, since it is smaller than the sum of its proper divisors (18736905624).

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

9688465416 is a wasteful number, since it uses less digits than its factorization.

9688465416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73043 (or 73032 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 9688465416 is about 98430.0026211521. The cubic root of 9688465416 is about 2131.8255574085.

The spelling of 9688465416 in words is "nine billion, six hundred eighty-eight million, four hundred sixty-five thousand, four hundred sixteen".