1716382736640 has 864 divisors, whose sum is σ = 7061324909184. Its totient is φ = 379427880960.

The previous prime is 1716382736639. The next prime is 1716382736687. The reversal of 1716382736640 is 466372836171.

It is a happy number.

1716382736640 is a `hidden beast` number, since 1 + 7 + 163 + 82 + 7 + 366 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136724604 + ... + 136737156.

It is an arithmetic number, because the mean of its divisors is an integer number (8172829756).

Almost surely, 2^{1716382736640} is an apocalyptic number.

1716382736640 is a gapful number since it is divisible by the number (10) 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 1716382736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530662454592).

1716382736640 is an abundant number, since it is smaller than the sum of its proper divisors (5344942172544).

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

1716382736640 is a wasteful number, since it uses less digits than its factorization.

1716382736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1716382736640 in words is "one trillion, seven hundred sixteen billion, three hundred eighty-two million, seven hundred thirty-six thousand, six hundred forty".