687280217760 has 480 divisors, whose sum is σ = 2556263888640. Its totient is φ = 173419481088.

The previous prime is 687280217753. The next prime is 687280217803. The reversal of 687280217760 is 67712082786.

It is a happy number.

687280217760 is a `hidden beast` number, since 6 + 87 + 280 + 217 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 687280217697 and 687280217706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 366157942 + ... + 366159818.

It is an arithmetic number, because the mean of its divisors is an integer number (5325549768).

Almost surely, 2^687280217760 is an apocalyptic number.

687280217760 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 687280217760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278131944320).

687280217760 is an abundant number, since it is smaller than the sum of its proper divisors (1868983670880).

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

687280217760 is a wasteful number, since it uses less digits than its factorization.

687280217760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 687280217760 in words is "six hundred eighty-seven billion, two hundred eighty million, two hundred seventeen thousand, seven hundred sixty".