9680187690000 has 375 divisors, whose sum is σ = 35020512940017. Its totient is φ = 2580636672000.

The previous prime is 9680187689983. The next prime is 9680187690013. The reversal of 9680187690000 is 967810869.

The square root of 9680187690000 is 3111300.

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 9423843949584 + 256343740416 = 3069828^2 + 506304^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×9680187690000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2800168272 + ... + 2800171728.

Almost surely, 2^{9680187690000} is an apocalyptic number.

9680187690000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9680187690000 is the 3111300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9680187690000

9680187690000 is an abundant number, since it is smaller than the sum of its proper divisors (25340325250017).

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

9680187690000 is an frugal number, since it uses more digits than its factorization.

9680187690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 9680187690000 in words is "nine trillion, six hundred eighty billion, one hundred eighty-seven million, six hundred ninety thousand".