686727452049408 has 4800 divisors, whose sum is σ = 2795284090368000. Its totient is φ = 166180599889920.

The previous prime is 686727452049389. The next prime is 686727452049451. The reversal of 686727452049408 is 804940254727686.

686727452049408 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 2 + 7 + 4 + 5 + 204 + 9 + 408 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7716038787028 + ... + 7716038787116.

It is an arithmetic number, because the mean of its divisors is an integer number (582350852160).

Almost surely, 2^{686727452049408} 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 686727452049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397642045184000).

686727452049408 is an abundant number, since it is smaller than the sum of its proper divisors (2108556638318592).

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

686727452049408 is an equidigital number, since it uses as much as digits as its factorization.

686727452049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 686727452049408 in words is "six hundred eighty-six trillion, seven hundred twenty-seven billion, four hundred fifty-two million, forty-nine thousand, four hundred eight".