1687664055840 has 192 divisors, whose sum is σ = 6339747004416. Its totient is φ = 368979950592.

The previous prime is 1687664055839. The next prime is 1687664055923. The reversal of 1687664055840 is 485504667861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10841872 + ... + 10996431.

It is an arithmetic number, because the mean of its divisors is an integer number (33019515648).

Almost surely, 2^{1687664055840} is an apocalyptic number.

1687664055840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1687664055840 is an abundant number, since it is smaller than the sum of its proper divisors (4652082948576).

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

1687664055840 is a wasteful number, since it uses less digits than its factorization.

1687664055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21838351 (or 21838343 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 1687664055840 in words is "one trillion, six hundred eighty-seven billion, six hundred sixty-four million, fifty-five thousand, eight hundred forty".