688442050128 has 320 divisors, whose sum is σ = 2302532628480. Its totient is φ = 172506931200.

The previous prime is 688442050039. The next prime is 688442050129. The reversal of 688442050128 is 821050244886.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688442050129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6568213 + ... + 6672203.

It is an arithmetic number, because the mean of its divisors is an integer number (7195414464).

Almost surely, 2^688442050128 is an apocalyptic number.

688442050128 is a gapful number since it is divisible by the number (68) 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 688442050128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151266314240).

688442050128 is an abundant number, since it is smaller than the sum of its proper divisors (1614090578352).

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

688442050128 is a wasteful number, since it uses less digits than its factorization.

688442050128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104106 (or 104100 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 688442050128 in words is "six hundred eighty-eight billion, four hundred forty-two million, fifty thousand, one hundred twenty-eight".