9730536672 has 96 divisors (see below), whose sum is σ = 25931501568. Its totient is φ = 3194505216.

The previous prime is 9730536661. The next prime is 9730536677. The reversal of 9730536672 is 2766350379.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9730536677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1765473 + ... + 1770975.

It is an arithmetic number, because the mean of its divisors is an integer number (270119808).

Almost surely, 2^9730536672 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 9730536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12965750784).

9730536672 is an abundant number, since it is smaller than the sum of its proper divisors (16200964896).

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

9730536672 is a wasteful number, since it uses less digits than its factorization.

9730536672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The square root of 9730536672 is about 98643.4826635800. The cubic root of 9730536672 is about 2134.9068527353.

The spelling of 9730536672 in words is "nine billion, seven hundred thirty million, five hundred thirty-six thousand, six hundred seventy-two".