689627312640000 has 6240 divisors, whose sum is σ = 3147481827409920. Its totient is φ = 147483721728000.

The previous prime is 689627312639933. The next prime is 689627312640023. The reversal of 689627312640000 is 46213726986.

689627312640000 is a `hidden beast` number, since 6 + 8 + 9 + 627 + 3 + 1 + 2 + 6 + 4 + 0 + 0 + 0 + 0 = 666.

689627312640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5430136319937 + ... + 5430136320063.

It is an arithmetic number, because the mean of its divisors is an integer number (504404139008).

Almost surely, 2^{689627312640000} is an apocalyptic number.

689627312640000 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 689627312640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573740913704960).

689627312640000 is an abundant number, since it is smaller than the sum of its proper divisors (2457854514769920).

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

689627312640000 is an equidigital number, since it uses as much as digits as its factorization.

689627312640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 689627312640000 in words is "six hundred eighty-nine trillion, six hundred twenty-seven billion, three hundred twelve million, six hundred forty thousand".