686413324800 has 2160 divisors, whose sum is σ = 3167334099072. Its totient is φ = 140790988800.

The previous prime is 686413324781. The next prime is 686413324819. The reversal of 686413324800 is 8423314686.

It is an interprime number because it is at equal distance from previous prime (686413324781) and next prime (686413324819).

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 215 ways as a sum of consecutive naturals, for example, 2207116645 + ... + 2207116955.

Almost surely, 2^686413324800 is an apocalyptic number.

686413324800 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 686413324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583667049536).

686413324800 is an abundant number, since it is smaller than the sum of its proper divisors (2480920774272).

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

686413324800 is a wasteful number, since it uses less digits than its factorization.

686413324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 686413324800 in words is "six hundred eighty-six billion, four hundred thirteen million, three hundred twenty-four thousand, eight hundred".