668990820960 has 1728 divisors, whose sum is σ = 2981497559040. Its totient is φ = 133633843200.

The previous prime is 668990820943. The next prime is 668990820977. The reversal of 668990820960 is 69028099866.

668990820960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (668990820943) and next prime (668990820977).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5106800095 + ... + 5106800225.

It is an arithmetic number, because the mean of its divisors is an integer number (1725403680).

Almost surely, 2^668990820960 is an apocalyptic number.

668990820960 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 668990820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490748779520).

668990820960 is an abundant number, since it is smaller than the sum of its proper divisors (2312506738080).

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

668990820960 is a wasteful number, since it uses less digits than its factorization.

668990820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 668990820960 in words is "six hundred sixty-eight billion, nine hundred ninety million, eight hundred twenty thousand, nine hundred sixty".