687764105000 has 160 divisors (see below), whose sum is σ = 1844994412800. Its totient is φ = 235374816000.

The previous prime is 687764104999. The next prime is 687764105033. The reversal of 687764105000 is 501467786.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19477361 + ... + 19512639.

It is an arithmetic number, because the mean of its divisors is an integer number (11531215080).

Almost surely, 2^687764105000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687764105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922497206400).

687764105000 is an abundant number, since it is smaller than the sum of its proper divisors (1157230307800).

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

687764105000 is a wasteful number, since it uses less digits than its factorization.

687764105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35869 (or 35850 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 687764105000 in words is "six hundred eighty-seven billion, seven hundred sixty-four million, one hundred five thousand".