1687468156920 has 768 divisors, whose sum is σ = 7189614432000. Its totient is φ = 335075180544.

The previous prime is 1687468156919. The next prime is 1687468156963. The reversal of 1687468156920 is 296518647861.

1687468156920 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 4 + 68 + 1 + 569 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94110516 + ... + 94128444.

It is an arithmetic number, because the mean of its divisors is an integer number (9361477125).

Almost surely, 2^{1687468156920} is an apocalyptic number.

1687468156920 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 1687468156920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594807216000).

1687468156920 is an abundant number, since it is smaller than the sum of its proper divisors (5502146275080).

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

1687468156920 is a wasteful number, since it uses less digits than its factorization.

1687468156920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009 (or 17976 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1687468156920 in words is "one trillion, six hundred eighty-seven billion, four hundred sixty-eight million, one hundred fifty-six thousand, nine hundred twenty".