686734900608 has 256 divisors, whose sum is σ = 1979115171840. Its totient is φ = 210159206400.

The previous prime is 686734900589. The next prime is 686734900609. The reversal of 686734900608 is 806009437686.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686734900609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96029833 + ... + 96036983.

It is an arithmetic number, because the mean of its divisors is an integer number (7730918640).

Almost surely, 2^686734900608 is an apocalyptic number.

686734900608 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 686734900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989557585920).

686734900608 is an abundant number, since it is smaller than the sum of its proper divisors (1292380271232).

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

686734900608 is a wasteful number, since it uses less digits than its factorization.

686734900608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 686734900608 in words is "six hundred eighty-six billion, seven hundred thirty-four million, nine hundred thousand, six hundred eight".