1687734895680 has 560 divisors, whose sum is σ = 6177961817280. Its totient is φ = 437037576192.

The previous prime is 1687734895661. The next prime is 1687734895699. The reversal of 1687734895680 is 865984377861.

1687734895680 is a `hidden beast` number, since 1 + 6 + 87 + 7 + 3 + 489 + 5 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1687734895661) and next prime (1687734895699).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1687734895599 and 1687734895608.

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 79 ways as a sum of consecutive naturals, for example, 593644339 + ... + 593647181.

Almost surely, 2^{1687734895680} is an apocalyptic number.

1687734895680 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 1687734895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088980908640).

1687734895680 is an abundant number, since it is smaller than the sum of its proper divisors (4490226921600).

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

1687734895680 is a wasteful number, since it uses less digits than its factorization.

1687734895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 1687734895680 in words is "one trillion, six hundred eighty-seven billion, seven hundred thirty-four million, eight hundred ninety-five thousand, six hundred eighty".