689244192000 has 2916 divisors, whose sum is σ = 3318586725636. Its totient is φ = 136868659200.

The previous prime is 689244191989. The next prime is 689244192001. The reversal of 689244192000 is 291442986.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

689244192000 is a `hidden beast` number, since 6 + 8 + 9 + 24 + 419 + 200 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 684312781824 + 4931410176 = 827232^2 + 70224^2 .

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 (689244192001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 40543775992 + ... + 40543776008.

Almost surely, 2^689244192000 is an apocalyptic number.

689244192000 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 689244192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659293362818).

689244192000 is an abundant number, since it is smaller than the sum of its proper divisors (2629342533636).

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

689244192000 is a wasteful number, since it uses less digits than its factorization.

689244192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

Multiplying 689244192000 by its sum of digits (45), we get a square (31015988640000 = 5569200²).

689244192000 divided by its sum of digits (45) gives a square (15316537600 = 123760²).

The spelling of 689244192000 in words is "six hundred eighty-nine billion, two hundred forty-four million, one hundred ninety-two thousand".