685683014400 has 648 divisors, whose sum is σ = 2551509870000. Its totient is φ = 182184837120.

The previous prime is 685683014383. The next prime is 685683014461. The reversal of 685683014400 is 4410386586.

685683014400 is a `hidden beast` number, since 6 + 8 + 568 + 30 + 14 + 40 + 0 = 666.

685683014400 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 tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×685683014400² (a number of 24 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 548984976 + ... + 548986224.

Almost surely, 2^685683014400 is an apocalyptic number.

685683014400 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 685683014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275754935000).

685683014400 is an abundant number, since it is smaller than the sum of its proper divisors (1865826855600).

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

685683014400 is a wasteful number, since it uses less digits than its factorization.

685683014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 685683014400 in words is "six hundred eighty-five billion, six hundred eighty-three million, fourteen thousand, four hundred".