686959460352 has 1152 divisors, whose sum is σ = 2436618562560. Its totient is φ = 192695500800.

The previous prime is 686959460281. The next prime is 686959460377. The reversal of 686959460352 is 253064959686.

686959460352 is a `hidden beast` number, since 6 + 8 + 6 + 9 + 594 + 6 + 0 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×686959460352² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 686959460352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22159982577 + ... + 22159982607.

It is an arithmetic number, because the mean of its divisors is an integer number (2115120280).

Almost surely, 2^686959460352 is an apocalyptic number.

686959460352 is a gapful number since it is divisible by the number (62) 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 686959460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218309281280).

686959460352 is an abundant number, since it is smaller than the sum of its proper divisors (1749659102208).

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

686959460352 is an equidigital number, since it uses as much as digits as its factorization.

686959460352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 686959460352 in words is "six hundred eighty-six billion, nine hundred fifty-nine million, four hundred sixty thousand, three hundred fifty-two".