668887188480 has 1056 divisors, whose sum is σ = 2758537986048. Its totient is φ = 146644992000.

The previous prime is 668887188421. The next prime is 668887188481. The reversal of 668887188480 is 84881788866.

668887188480 is a `hidden beast` number, since 6 + 68 + 8 + 8 + 7 + 1 + 88 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 668887188399 and 668887188408.

It is not an unprimeable number, because it can be changed into a prime (668887188481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1509903139 + ... + 1509903581.

Almost surely, 2^668887188480 is an apocalyptic number.

668887188480 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 668887188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379268993024).

668887188480 is an abundant number, since it is smaller than the sum of its proper divisors (2089650797568).

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

668887188480 is a wasteful number, since it uses less digits than its factorization.

668887188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 264241152, while the sum is 72.

The spelling of 668887188480 in words is "six hundred sixty-eight billion, eight hundred eighty-seven million, one hundred eighty-eight thousand, four hundred eighty".