689496350400 has 1008 divisors, whose sum is σ = 3030766851840. Its totient is φ = 146163916800.

The previous prime is 689496350383. The next prime is 689496350429. The reversal of 689496350400 is 4053694986.

689496350400 is a `hidden beast` number, since 6 + 89 + 496 + 35 + 0 + 40 + 0 = 666.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 39115989 + ... + 39133611.

Almost surely, 2^689496350400 is an apocalyptic number.

689496350400 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 689496350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515383425920).

689496350400 is an abundant number, since it is smaller than the sum of its proper divisors (2341270501440).

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

689496350400 is a wasteful number, since it uses less digits than its factorization.

689496350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694 (or 17676 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 689496350400 in words is "six hundred eighty-nine billion, four hundred ninety-six million, three hundred fifty thousand, four hundred".