688705008672 has 96 divisors (see below), whose sum is σ = 1826836744320. Its totient is φ = 227160115200.

The previous prime is 688705008647. The next prime is 688705008697. The reversal of 688705008672 is 276800507886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (688705008647) and next prime (688705008697).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16976829 + ... + 17017347.

It is an arithmetic number, because the mean of its divisors is an integer number (19029549420).

Almost surely, 2^688705008672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688705008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913418372160).

688705008672 is an abundant number, since it is smaller than the sum of its proper divisors (1138131735648).

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

688705008672 is a wasteful number, since it uses less digits than its factorization.

688705008672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42386 (or 42378 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 688705008672 in words is "six hundred eighty-eight billion, seven hundred five million, eight thousand, six hundred seventy-two".