1687869690780 has 432 divisors, whose sum is σ = 6145148104704. Its totient is φ = 344631006720.

The previous prime is 1687869690763. The next prime is 1687869690809. The reversal of 1687869690780 is 870969687861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15347869 + ... + 15457451.

It is an arithmetic number, because the mean of its divisors is an integer number (14224879872).

Almost surely, 2^{1687869690780} is an apocalyptic number.

1687869690780 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 1687869690780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072574052352).

1687869690780 is an abundant number, since it is smaller than the sum of its proper divisors (4457278413924).

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

1687869690780 is a wasteful number, since it uses less digits than its factorization.

1687869690780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109666 (or 109644 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 75.

The spelling of 1687869690780 in words is "one trillion, six hundred eighty-seven billion, eight hundred sixty-nine million, six hundred ninety thousand, seven hundred eighty".