668682097440 has 1152 divisors, whose sum is σ = 2656425300480. Its totient is φ = 138231152640.

The previous prime is 668682097439. The next prime is 668682097441. The reversal of 668682097440 is 44790286866.

It is an interprime number because it is at equal distance from previous prime (668682097439) and next prime (668682097441).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (668682097441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3464673984 + ... + 3464674176.

It is an arithmetic number, because the mean of its divisors is an integer number (2305924740).

Almost surely, 2^668682097440 is an apocalyptic number.

668682097440 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 668682097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328212650240).

668682097440 is an abundant number, since it is smaller than the sum of its proper divisors (1987743203040).

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

668682097440 is a wasteful number, since it uses less digits than its factorization.

668682097440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 668682097440 in words is "six hundred sixty-eight billion, six hundred eighty-two million, ninety-seven thousand, four hundred forty".