9920756664 has 512 divisors, whose sum is σ = 35271936000. Its totient is φ = 2514530304.

The previous prime is 9920756647. The next prime is 9920756669. The reversal of 9920756664 is 4666570299.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9920756664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920756669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92717299 + ... + 92717405.

It is an arithmetic number, because the mean of its divisors is an integer number (68890500).

Almost surely, 2^9920756664 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 9920756664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635968000).

9920756664 is an abundant number, since it is smaller than the sum of its proper divisors (25351179336).

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

9920756664 is a wasteful number, since it uses less digits than its factorization.

9920756664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 9920756664 is about 99602.9952561669. The cubic root of 9920756664 is about 2148.7287717842.

The spelling of 9920756664 in words is "nine billion, nine hundred twenty million, seven hundred fifty-six thousand, six hundred sixty-four".