668416674240 has 1792 divisors, whose sum is σ = 2965094400000. Its totient is φ = 138346610688.

The previous prime is 668416674227. The next prime is 668416674241. The reversal of 668416674240 is 42476614866.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668416674241) 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 255 ways as a sum of consecutive naturals, for example, 3358877661 + ... + 3358877859.

Almost surely, 2^668416674240 is an apocalyptic number.

668416674240 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 668416674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482547200000).

668416674240 is an abundant number, since it is smaller than the sum of its proper divisors (2296677725760).

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

668416674240 is a wasteful number, since it uses less digits than its factorization.

668416674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 668416674240 in words is "six hundred sixty-eight billion, four hundred sixteen million, six hundred seventy-four thousand, two hundred forty".