667952303616 has 280 divisors, whose sum is σ = 2154922206360. Its totient is φ = 205522292736.

The previous prime is 667952303591. The next prime is 667952303617. The reversal of 667952303616 is 616303259766.

667952303616 is a `hidden beast` number, since 6 + 6 + 79 + 523 + 0 + 36 + 16 = 666.

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 (667952303617) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4783395 + ... + 4921053.

It is an arithmetic number, because the mean of its divisors is an integer number (7696150737).

Almost surely, 2^667952303616 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 667952303616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077461103180).

667952303616 is an abundant number, since it is smaller than the sum of its proper divisors (1486969902744).

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

667952303616 is an equidigital number, since it uses as much as digits as its factorization.

667952303616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137708 (or 137677 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 667952303616 in words is "six hundred sixty-seven billion, nine hundred fifty-two million, three hundred three thousand, six hundred sixteen".