9742513690000 has 675 divisors, whose sum is σ = 29798535223413. Its totient is φ = 3083344992000.

The previous prime is 9742513689989. The next prime is 9742513690027. The reversal of 9742513690000 is 963152479.

It is a happy number.

The square root of 9742513690000 is 3121300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 9622974776464 + 119538913536 = 3102092^2 + 345744^2 .

It is a super-2 number, since 2×9742513690000² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 749424129994 + ... + 749424130006.

Almost surely, 2^{9742513690000} is an apocalyptic number.

9742513690000 is the 3121300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9742513690000

9742513690000 is an abundant number, since it is smaller than the sum of its proper divisors (20056021533413).

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

9742513690000 is an frugal number, since it uses more digits than its factorization.

9742513690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 9742513690000 in words is "nine trillion, seven hundred forty-two billion, five hundred thirteen million, six hundred ninety thousand".