9763493419680 has 1536 divisors, whose sum is σ = 43901280460800. Its totient is φ = 1756422144000.

The previous prime is 9763493419679. The next prime is 9763493419697. The reversal of 9763493419680 is 869143943679.

It is a super-2 number, since 2×9763493419680² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 922035826 + ... + 922046414.

It is an arithmetic number, because the mean of its divisors is an integer number (28581562800).

Almost surely, 2^{9763493419680} 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 9763493419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21950640230400).

9763493419680 is an abundant number, since it is smaller than the sum of its proper divisors (34137787041120).

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

9763493419680 is a wasteful number, since it uses less digits than its factorization.

9763493419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10758 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 69.

The spelling of 9763493419680 in words is "nine trillion, seven hundred sixty-three billion, four hundred ninety-three million, four hundred nineteen thousand, six hundred eighty".