686361513600 has 768 divisors, whose sum is σ = 2969800992000. Its totient is φ = 151469015040.

The previous prime is 686361513599. The next prime is 686361513619. The reversal of 686361513600 is 6315163686.

686361513600 is a `hidden beast` number, since 6 + 8 + 6 + 36 + 1 + 5 + 1 + 3 + 600 = 666.

686361513600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17519634 + ... + 17558766.

It is an arithmetic number, because the mean of its divisors is an integer number (3866928375).

Almost surely, 2^686361513600 is an apocalyptic number.

686361513600 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 686361513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484900496000).

686361513600 is an abundant number, since it is smaller than the sum of its proper divisors (2283439478400).

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

686361513600 is a wasteful number, since it uses less digits than its factorization.

686361513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39202 (or 39179 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 686361513600 in words is "six hundred eighty-six billion, three hundred sixty-one million, five hundred thirteen thousand, six hundred".