689455742976 has 1440 divisors, whose sum is σ = 2789244476928. Its totient is φ = 164348559360.

The previous prime is 689455742959. The next prime is 689455742977. The reversal of 689455742976 is 679247554986.

689455742976 is a `hidden beast` number, since 6 + 8 + 9 + 45 + 574 + 2 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689455742977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3985293226 + ... + 3985293398.

Almost surely, 2^689455742976 is an apocalyptic number.

689455742976 is a gapful number since it is divisible by the number (66) 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 689455742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394622238464).

689455742976 is an abundant number, since it is smaller than the sum of its proper divisors (2099788733952).

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

689455742976 is a wasteful number, since it uses less digits than its factorization.

689455742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 209 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 689455742976 in words is "six hundred eighty-nine billion, four hundred fifty-five million, seven hundred forty-two thousand, nine hundred seventy-six".