686132966400 has 792 divisors, whose sum is σ = 2702890503936. Its totient is φ = 152970854400.

The previous prime is 686132966377. The next prime is 686132966419. The reversal of 686132966400 is 4669231686.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154288977 + ... + 154293423.

Almost surely, 2^686132966400 is an apocalyptic number.

686132966400 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 686132966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351445251968).

686132966400 is an abundant number, since it is smaller than the sum of its proper divisors (2016757537536).

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

686132966400 is a wasteful number, since it uses less digits than its factorization.

686132966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 686132966400 in words is "six hundred eighty-six billion, one hundred thirty-two million, nine hundred sixty-six thousand, four hundred".