687315160350 has 1152 divisors, whose sum is σ = 2517238886400. Its totient is φ = 135914526720.

The previous prime is 687315160349. The next prime is 687315160387. The reversal of 687315160350 is 53061513786.

687315160350 is a `hidden beast` number, since 6 + 8 + 7 + 31 + 5 + 1 + 603 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 687315160296 and 687315160305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2875795531 + ... + 2875795769.

It is an arithmetic number, because the mean of its divisors is an integer number (2185103200).

Almost surely, 2^687315160350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687315160350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258619443200).

687315160350 is an abundant number, since it is smaller than the sum of its proper divisors (1829923726050).

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

687315160350 is a wasteful number, since it uses less digits than its factorization.

687315160350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 687315160350 in words is "six hundred eighty-seven billion, three hundred fifteen million, one hundred sixty thousand, three hundred fifty".