687861877738560 has 224 divisors, whose sum is σ = 2496188335763712. Its totient is φ = 157210933985280.

The previous prime is 687861877738517. The next prime is 687861877738561. The reversal of 687861877738560 is 65837778168786.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (687861877738561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67500540 + ... + 77019780.

Almost surely, 2^{687861877738560} is an apocalyptic number.

687861877738560 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 687861877738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248094167881856).

687861877738560 is an abundant number, since it is smaller than the sum of its proper divisors (1808326458025152).

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

687861877738560 is a wasteful number, since it uses less digits than its factorization.

687861877738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530021 (or 9530011 counting only the distinct ones).

The product of its (nonzero) digits is 31863767040, while the sum is 87.

The spelling of 687861877738560 in words is "six hundred eighty-seven trillion, eight hundred sixty-one billion, eight hundred seventy-seven million, seven hundred thirty-eight thousand, five hundred sixty".