1687712715936 has 480 divisors, whose sum is σ = 5438301256080. Its totient is φ = 510336516096.

The previous prime is 1687712715839. The next prime is 1687712715937. The reversal of 1687712715936 is 6395172177861.

1687712715936 is a `hidden beast` number, since 16 + 8 + 7 + 7 + 1 + 27 + 1 + 593 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1228240227600 + 459472488336 = 1108260^2 + 677844^2 .

It is not an unprimeable number, because it can be changed into a prime (1687712715937) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 518815686 + ... + 518818938.

Almost surely, 2^{1687712715936} is an apocalyptic number.

1687712715936 is a gapful number since it is divisible by the number (16) 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 1687712715936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719150628040).

1687712715936 is an abundant number, since it is smaller than the sum of its proper divisors (3750588540144).

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

1687712715936 is a wasteful number, since it uses less digits than its factorization.

1687712715936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3533 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 1687712715936 in words is "one trillion, six hundred eighty-seven billion, seven hundred twelve million, seven hundred fifteen thousand, nine hundred thirty-six".