689759757456 has 640 divisors, whose sum is σ = 2421102182400. Its totient is φ = 167340096000.

The previous prime is 689759757437. The next prime is 689759757461. The reversal of 689759757456 is 654757957986.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179109931 + ... + 179113781.

It is an arithmetic number, because the mean of its divisors is an integer number (3782972160).

Almost surely, 2^689759757456 is an apocalyptic number.

689759757456 is a gapful number since it is divisible by the number (66) 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 689759757456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210551091200).

689759757456 is an abundant number, since it is smaller than the sum of its proper divisors (1731342424944).

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

689759757456 is a wasteful number, since it uses less digits than its factorization.

689759757456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3940 counting only the distinct ones).

The product of its digits is 4000752000, while the sum is 78.

The spelling of 689759757456 in words is "six hundred eighty-nine billion, seven hundred fifty-nine million, seven hundred fifty-seven thousand, four hundred fifty-six".