686897971200 has 1440 divisors, whose sum is σ = 3042455270400. Its totient is φ = 148423311360.

The previous prime is 686897971171. The next prime is 686897971217. The reversal of 686897971200 is 2179798686.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 1470873367 + ... + 1470873833.

It is an arithmetic number, because the mean of its divisors is an integer number (2112816160).

Almost surely, 2^686897971200 is an apocalyptic number.

686897971200 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 686897971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521227635200).

686897971200 is an abundant number, since it is smaller than the sum of its proper divisors (2355557299200).

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

686897971200 is a wasteful number, since it uses less digits than its factorization.

686897971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 686897971200 in words is "six hundred eighty-six billion, eight hundred ninety-seven million, nine hundred seventy-one thousand, two hundred".