9742581497376 has 1296 divisors, whose sum is σ = 36402982506072. Its totient is φ = 2449283235840.

The previous prime is 9742581497371. The next prime is 9742581497377. The reversal of 9742581497376 is 6737941852479.

9742581497376 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 581 + 4 + 9 + 7 + 37 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7547217728400 + 2195363768976 = 2747220^2 + 1481676^2 .

It is a super-3 number, since 3×9742581497376³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9742581497371) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12869988390 + ... + 12869989146.

Almost surely, 2^{9742581497376} is an apocalyptic number.

9742581497376 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 9742581497376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201491253036).

9742581497376 is an abundant number, since it is smaller than the sum of its proper divisors (26660401008696).

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

9742581497376 is a wasteful number, since it uses less digits than its factorization.

9742581497376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 886 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 9742581497376 in words is "nine trillion, seven hundred forty-two billion, five hundred eighty-one million, four hundred ninety-seven thousand, three hundred seventy-six".