688643805850560 has 6048 divisors, whose sum is σ = 3229571554560000. Its totient is φ = 133427620085760.

The previous prime is 688643805850547. The next prime is 688643805850621. The reversal of 688643805850560 is 65058508346886.

It is a happy number.

688643805850560 is a `hidden beast` number, since 6 + 8 + 8 + 6 + 4 + 3 + 8 + 0 + 5 + 8 + 50 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 3460521637341 + ... + 3460521637539.

Almost surely, 2^{688643805850560} is an apocalyptic number.

688643805850560 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 688643805850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614785777280000).

688643805850560 is an abundant number, since it is smaller than the sum of its proper divisors (2540927748709440).

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

688643805850560 is a wasteful number, since it uses less digits than its factorization.

688643805850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1327104000, while the sum is 72.

The spelling of 688643805850560 in words is "six hundred eighty-eight trillion, six hundred forty-three billion, eight hundred five million, eight hundred fifty thousand, five hundred sixty".