9725946966 has 16 divisors (see below), whose sum is σ = 21613215600. Its totient is φ = 3241982304.

The previous prime is 9725946961. The next prime is 9725946973. The reversal of 9725946966 is 6696495279.

9725946966 is a `hidden beast` number, since 97 + 25 + 9 + 469 + 66 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9725946961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90055011 + ... + 90055118.

It is an arithmetic number, because the mean of its divisors is an integer number (1350825975).

Almost surely, 2^9725946966 is an apocalyptic number.

9725946966 is an abundant number, since it is smaller than the sum of its proper divisors (11887268634).

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

9725946966 is a wasteful number, since it uses less digits than its factorization.

9725946966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180110140 (or 180110134 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 9725946966 is about 98620.2158079164. The cubic root of 9725946966 is about 2134.5711351852.

The spelling of 9725946966 in words is "nine billion, seven hundred twenty-five million, nine hundred forty-six thousand, nine hundred sixty-six".