686418480 has 180 divisors, whose sum is σ = 2534160720. Its totient is φ = 166383360.

The previous prime is 686418479. The next prime is 686418493. The reversal of 686418480 is 84814686.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83181 + ... + 91059.

Almost surely, 2^686418480 is an apocalyptic number.

686418480 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 686418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267080360).

686418480 is an abundant number, since it is smaller than the sum of its proper divisors (1847742240).

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

686418480 is a wasteful number, since it uses less digits than its factorization.

686418480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 686418480 is about 26199.5893097583. The cubic root of 686418480 is about 882.1240358054.

The spelling of 686418480 in words is "six hundred eighty-six million, four hundred eighteen thousand, four hundred eighty".