687458540160 has 384 divisors, whose sum is σ = 2714983090560. Its totient is φ = 157018890240.

The previous prime is 687458540141. The next prime is 687458540191. The reversal of 687458540160 is 61045854786.

687458540160 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 585 + 40 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 687458540097 and 687458540106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63337294 + ... + 63348146.

It is an arithmetic number, because the mean of its divisors is an integer number (7070268465).

Almost surely, 2^687458540160 is an apocalyptic number.

687458540160 is a gapful number since it is divisible by the number (60) 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 687458540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357491545280).

687458540160 is an abundant number, since it is smaller than the sum of its proper divisors (2027524550400).

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

687458540160 is a wasteful number, since it uses less digits than its factorization.

687458540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12456 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 687458540160 in words is "six hundred eighty-seven billion, four hundred fifty-eight million, five hundred forty thousand, one hundred sixty".