9761920896 has 256 divisors, whose sum is σ = 32067624960. Its totient is φ = 2562195456.

The previous prime is 9761920891. The next prime is 9761920907. The reversal of 9761920896 is 6980291679.

It is a super-2 number, since 2×9761920896² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9761920891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8980065 + ... + 8981151.

It is an arithmetic number, because the mean of its divisors is an integer number (125264160).

Almost surely, 2^9761920896 is an apocalyptic number.

9761920896 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 9761920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16033812480).

9761920896 is an abundant number, since it is smaller than the sum of its proper divisors (22305704064).

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

9761920896 is a wasteful number, since it uses less digits than its factorization.

9761920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The square root of 9761920896 is about 98802.4336542375. The cubic root of 9761920896 is about 2137.1996515439.

The spelling of 9761920896 in words is "nine billion, seven hundred sixty-one million, nine hundred twenty thousand, eight hundred ninety-six".