1687975207632 has 120 divisors (see below), whose sum is σ = 5399477101824. Its totient is φ = 482221838592.

The previous prime is 1687975207631. The next prime is 1687975207643. The reversal of 1687975207632 is 2367025797861.

1687975207632 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 9 + 7 + 520 + 76 + 32 = 666.

It is a super-3 number, since 3×1687975207632³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1687975207632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687975207631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8869993 + ... + 9058295.

Almost surely, 2^{1687975207632} is an apocalyptic number.

1687975207632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1687975207632 is an abundant number, since it is smaller than the sum of its proper divisors (3711501894192).

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

1687975207632 is a wasteful number, since it uses less digits than its factorization.

1687975207632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197217 (or 197208 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 1687975207632 in words is "one trillion, six hundred eighty-seven billion, nine hundred seventy-five million, two hundred seven thousand, six hundred thirty-two".