9725762016 has 576 divisors, whose sum is σ = 32691859200. Its totient is φ = 2828722176.

The previous prime is 9725762003. The next prime is 9725762023. The reversal of 9725762016 is 6102675279.

9725762016 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 7 + 620 + 16 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 164843395 + ... + 164843453.

It is an arithmetic number, because the mean of its divisors is an integer number (56756700).

Almost surely, 2^9725762016 is an apocalyptic number.

9725762016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9725762016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345929600).

9725762016 is an abundant number, since it is smaller than the sum of its proper divisors (22966097184).

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

9725762016 is a wasteful number, since it uses less digits than its factorization.

9725762016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9725762016 is about 98619.2781153868. The cubic root of 9725762016 is about 2134.5576046627.

The spelling of 9725762016 in words is "nine billion, seven hundred twenty-five million, seven hundred sixty-two thousand, sixteen".