9741820896990 has 384 divisors, whose sum is σ = 32497812652032. Its totient is φ = 2044646945280.

The previous prime is 9741820896979. The next prime is 9741820896991. The reversal of 9741820896990 is 996980281479.

9741820896990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9741820896991) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42120504 + ... + 42351156.

It is an arithmetic number, because the mean of its divisors is an integer number (84629720448).

Almost surely, 2^{9741820896990} is an apocalyptic number.

9741820896990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9741820896990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248906326016).

9741820896990 is an abundant number, since it is smaller than the sum of its proper divisors (22755991755042).

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

9741820896990 is a wasteful number, since it uses less digits than its factorization.

9741820896990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230886 (or 230874 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 9741820896990 in words is "nine trillion, seven hundred forty-one billion, eight hundred twenty million, eight hundred ninety-six thousand, nine hundred ninety".