1671682716720 has 480 divisors, whose sum is σ = 5977272787200. Its totient is φ = 417497020416.

The previous prime is 1671682716689. The next prime is 1671682716757. The reversal of 1671682716720 is 276172861761.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 964616974 + ... + 964618706.

It is an arithmetic number, because the mean of its divisors is an integer number (12452651640).

Almost surely, 2^{1671682716720} is an apocalyptic number.

1671682716720 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 1671682716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988636393600).

1671682716720 is an abundant number, since it is smaller than the sum of its proper divisors (4305590070480).

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

1671682716720 is a wasteful number, since it uses less digits than its factorization.

1671682716720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 1671682716720 in words is "one trillion, six hundred seventy-one billion, six hundred eighty-two million, seven hundred sixteen thousand, seven hundred twenty".