668374985376 has 288 divisors, whose sum is σ = 2268848957760. Its totient is φ = 190867622400.

The previous prime is 668374985329. The next prime is 668374985407. The reversal of 668374985376 is 673589473866.

668374985376 is a `hidden beast` number, since 6 + 6 + 83 + 7 + 4 + 9 + 8 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×668374985376² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151179646 + ... + 151184066.

It is an arithmetic number, because the mean of its divisors is an integer number (7877947770).

Almost surely, 2^668374985376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668374985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134424478880).

668374985376 is an abundant number, since it is smaller than the sum of its proper divisors (1600473972384).

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

668374985376 is a wasteful number, since it uses less digits than its factorization.

668374985376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025 (or 8004 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 668374985376 in words is "six hundred sixty-eight billion, three hundred seventy-four million, nine hundred eighty-five thousand, three hundred seventy-six".