9737599872 has 768 divisors, whose sum is σ = 36465408000. Its totient is φ = 2285015040.

The previous prime is 9737599843. The next prime is 9737599897. The reversal of 9737599872 is 2789957379.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (60011280) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207182953 + ... + 207182999.

It is an arithmetic number, because the mean of its divisors is an integer number (47481000).

Almost surely, 2^9737599872 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 9737599872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704000).

9737599872 is an abundant number, since it is smaller than the sum of its proper divisors (26727808128).

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

9737599872 is a wasteful number, since it uses less digits than its factorization.

9737599872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 66.

The square root of 9737599872 is about 98679.2778246781. The cubic root of 9737599872 is about 2135.4232897172.

The spelling of 9737599872 in words is "nine billion, seven hundred thirty-seven million, five hundred ninety-nine thousand, eight hundred seventy-two".