683728214400 has 1152 divisors, whose sum is σ = 3143665459200. Its totient is φ = 142058188800.

The previous prime is 683728214371. The next prime is 683728214401. The reversal of 683728214400 is 4412827386.

It is a happy number.

683728214400 is a `hidden beast` number, since 6 + 8 + 3 + 7 + 28 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×683728214400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683728214401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73176129 + ... + 73185471.

Almost surely, 2^683728214400 is an apocalyptic number.

683728214400 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 683728214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571832729600).

683728214400 is an abundant number, since it is smaller than the sum of its proper divisors (2459937244800).

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

683728214400 is a wasteful number, since it uses less digits than its factorization.

683728214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 683728214400 in words is "six hundred eighty-three billion, seven hundred twenty-eight million, two hundred fourteen thousand, four hundred".