9602072064 has 240 divisors, whose sum is σ = 30236606400. Its totient is φ = 2915647488.

The previous prime is 9602072059. The next prime is 9602072069. The reversal of 9602072064 is 4602702069.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9602072059) and next prime (9602072069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9602072069) 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, 4731402 + ... + 4733430.

It is an arithmetic number, because the mean of its divisors is an integer number (125985860).

Almost surely, 2^9602072064 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 9602072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15118303200).

9602072064 is an abundant number, since it is smaller than the sum of its proper divisors (20634534336).

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

9602072064 is a wasteful number, since it uses less digits than its factorization.

9602072064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9602072064 is about 97990.1630981396. The cubic root of 9602072064 is about 2125.4700368489.

The spelling of 9602072064 in words is "nine billion, six hundred two million, seventy-two thousand, sixty-four".