9975599772 has 48 divisors (see below), whose sum is σ = 23508122400. Its totient is φ = 3292162048.

The previous prime is 9975599747. The next prime is 9975599801. The reversal of 9975599772 is 2779955799.

It is a super-3 number, since 3×9975599772³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 9975599697 and 9975599706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1418938 + ... + 1425950.

It is an arithmetic number, because the mean of its divisors is an integer number (489752550).

Almost surely, 2^9975599772 is an apocalyptic number.

It is an amenable number.

9975599772 is an abundant number, since it is smaller than the sum of its proper divisors (13532522628).

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

9975599772 is a wasteful number, since it uses less digits than its factorization.

9975599772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182 (or 8180 counting only the distinct ones).

The product of its digits is 112521150, while the sum is 69.

The square root of 9975599772 is about 99877.9243476755. The cubic root of 9975599772 is about 2152.6809729661.

The spelling of 9975599772 in words is "nine billion, nine hundred seventy-five million, five hundred ninety-nine thousand, seven hundred seventy-two".