687280261711680 has 2688 divisors, whose sum is σ = 3117093331968000. Its totient is φ = 139473189273600.

The previous prime is 687280261711663. The next prime is 687280261711699. The reversal of 687280261711680 is 86117162082786.

It is a happy number.

687280261711680 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 8 + 0 + 2 + 617 + 1 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29753668771 + ... + 29753691869.

It is an arithmetic number, because the mean of its divisors is an integer number (1159632936000).

Almost surely, 2^{687280261711680} is an apocalyptic number.

687280261711680 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 687280261711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558546665984000).

687280261711680 is an abundant number, since it is smaller than the sum of its proper divisors (2429813070256320).

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

687280261711680 is a wasteful number, since it uses less digits than its factorization.

687280261711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23270 (or 23241 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 687280261711680 in words is "six hundred eighty-seven trillion, two hundred eighty billion, two hundred sixty-one million, seven hundred eleven thousand, six hundred eighty".