686937674362320 has 240 divisors, whose sum is σ = 2326740131935440. Its totient is φ = 181618307260416.

The previous prime is 686937674362267. The next prime is 686937674362367. The reversal of 686937674362320 is 23263476739686.

686937674362320 is a `hidden beast` number, since 6 + 8 + 6 + 93 + 7 + 67 + 436 + 23 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 86392266025536 + 600545408336784 = 9294744^2 + 24506028^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 45010546 + ... + 58308014.

It is an arithmetic number, because the mean of its divisors is an integer number (9694750549731).

Almost surely, 2^{686937674362320} is an apocalyptic number.

686937674362320 is a gapful number since it is divisible by the number (60) 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 686937674362320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163370065967720).

686937674362320 is an abundant number, since it is smaller than the sum of its proper divisors (1639802457573120).

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

686937674362320 is a wasteful number, since it uses less digits than its factorization.

686937674362320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13298102 (or 13298093 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 72.

The spelling of 686937674362320 in words is "six hundred eighty-six trillion, nine hundred thirty-seven billion, six hundred seventy-four million, three hundred sixty-two thousand, three hundred twenty".