9741737795040 has 480 divisors, whose sum is σ = 34896044937600. Its totient is φ = 2559003687936.

The previous prime is 9741737795003. The next prime is 9741737795047. The reversal of 9741737795040 is 405977371479.

9741737795040 is a `hidden beast` number, since 97 + 4 + 1 + 7 + 37 + 7 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9741737795047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 373247911 + ... + 373274009.

It is an arithmetic number, because the mean of its divisors is an integer number (72700093620).

Almost surely, 2^{9741737795040} is an apocalyptic number.

9741737795040 is a gapful number since it is divisible by the number (90) 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 9741737795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448022468800).

9741737795040 is an abundant number, since it is smaller than the sum of its proper divisors (25154307142560).

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

9741737795040 is a wasteful number, since it uses less digits than its factorization.

9741737795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26556 (or 26539 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 9741737795040 in words is "nine trillion, seven hundred forty-one billion, seven hundred thirty-seven million, seven hundred ninety-five thousand, forty".