1687987966464 has 160 divisors (see below), whose sum is σ = 5290477727040. Its totient is φ = 529564778496.

The previous prime is 1687987966463. The next prime is 1687987966493. The reversal of 1687987966464 is 4646697897861.

It is a happy number.

1687987966464 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 98 + 7 + 9 + 66 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (1687987966463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3356334 + ... + 3826349.

It is an arithmetic number, because the mean of its divisors is an integer number (33065485794).

Almost surely, 2^{1687987966464} is an apocalyptic number.

It is an amenable number.

1687987966464 is an abundant number, since it is smaller than the sum of its proper divisors (3602489760576).

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

1687987966464 is an equidigital number, since it uses as much as digits as its factorization.

1687987966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182727 (or 7182705 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 81.

The spelling of 1687987966464 in words is "one trillion, six hundred eighty-seven billion, nine hundred eighty-seven million, nine hundred sixty-six thousand, four hundred sixty-four".