687093485760 has 672 divisors, whose sum is σ = 2804608665600. Its totient is φ = 157796812800.

The previous prime is 687093485731. The next prime is 687093485777. The reversal of 687093485760 is 67584390786.

687093485760 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 93 + 485 + 7 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19846065 + ... + 19880655.

It is an arithmetic number, because the mean of its divisors is an integer number (4173524800).

Almost surely, 2^687093485760 is an apocalyptic number.

687093485760 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 687093485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402304332800).

687093485760 is an abundant number, since it is smaller than the sum of its proper divisors (2117515179840).

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

687093485760 is a wasteful number, since it uses less digits than its factorization.

687093485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34658 (or 34631 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 687093485760 in words is "six hundred eighty-seven billion, ninety-three million, four hundred eighty-five thousand, seven hundred sixty".