668119691520 has 576 divisors, whose sum is σ = 2540955594240. Its totient is φ = 165805719552.

The previous prime is 668119691513. The next prime is 668119691521. The reversal of 668119691520 is 25196911866.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (668119691521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29399202 + ... + 29421918.

It is an arithmetic number, because the mean of its divisors is an integer number (4411381240).

Almost surely, 2^668119691520 is an apocalyptic number.

668119691520 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 668119691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270477797120).

668119691520 is an abundant number, since it is smaller than the sum of its proper divisors (1872835902720).

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

668119691520 is a wasteful number, since it uses less digits than its factorization.

668119691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22807 (or 22787 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 668119691520 in words is "six hundred sixty-eight billion, one hundred nineteen million, six hundred ninety-one thousand, five hundred twenty".