667663784621316 has 288 divisors, whose sum is σ = 2036662769232000. Its totient is φ = 188576108937216.

The previous prime is 667663784621291. The next prime is 667663784621333. The reversal of 667663784621316 is 613126487366766.

667663784621316 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 63 + 78 + 462 + 1 + 31 + 6 = 666.

667663784621316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2167803780 + ... + 2168111748.

It is an arithmetic number, because the mean of its divisors is an integer number (7071745726500).

Almost surely, 2^{667663784621316} 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 667663784621316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018331384616000).

667663784621316 is an abundant number, since it is smaller than the sum of its proper divisors (1368998984610684).

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

667663784621316 is a wasteful number, since it uses less digits than its factorization.

667663784621316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312688 (or 312673 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 667663784621316 in words is "six hundred sixty-seven trillion, six hundred sixty-three billion, seven hundred eighty-four million, six hundred twenty-one thousand, three hundred sixteen".