686828772000 has 576 divisors, whose sum is σ = 2793628341504. Its totient is φ = 156547123200.

The previous prime is 686828771917. The next prime is 686828772017. The reversal of 686828772000 is 277828686.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93992347 + ... + 93999653.

It is an arithmetic number, because the mean of its divisors is an integer number (4850049204).

Almost surely, 2^686828772000 is an apocalyptic number.

686828772000 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 686828772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396814170752).

686828772000 is an abundant number, since it is smaller than the sum of its proper divisors (2106799569504).

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

686828772000 is a wasteful number, since it uses less digits than its factorization.

686828772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 686828772000 in words is "six hundred eighty-six billion, eight hundred twenty-eight million, seven hundred seventy-two thousand".