689408582400 has 432 divisors, whose sum is σ = 2530535118720. Its totient is φ = 183657369600.

The previous prime is 689408582363. The next prime is 689408582407. The reversal of 689408582400 is 4285804986.

689408582400 is a `hidden beast` number, since 6 + 89 + 4 + 0 + 85 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (689408582407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312939699 + ... + 312941901.

Almost surely, 2^689408582400 is an apocalyptic number.

689408582400 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 689408582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265267559360).

689408582400 is an abundant number, since it is smaller than the sum of its proper divisors (1841126536320).

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

689408582400 is a wasteful number, since it uses less digits than its factorization.

689408582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 689408582400 in words is "six hundred eighty-nine billion, four hundred eight million, five hundred eighty-two thousand, four hundred".