667125657777672 has 192 divisors, whose sum is σ = 1848692779876800. Its totient is φ = 217274735208960.

The previous prime is 667125657777653. The next prime is 667125657777703. The reversal of 667125657777672 is 276777756521766.

It is a hoax number, since the sum of its digits (81) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 667125657777591 and 667125657777600.

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, 1261727854 + ... + 1262256482.

It is an arithmetic number, because the mean of its divisors is an integer number (9628608228525).

Almost surely, 2^{667125657777672} 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 667125657777672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924346389938400).

667125657777672 is an abundant number, since it is smaller than the sum of its proper divisors (1181567122099128).

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

667125657777672 is a wasteful number, since it uses less digits than its factorization.

667125657777672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530836 (or 530829 counting only the distinct ones).

The product of its digits is 15247310400, while the sum is 81.

The spelling of 667125657777672 in words is "six hundred sixty-seven trillion, one hundred twenty-five billion, six hundred fifty-seven million, seven hundred seventy-seven thousand, six hundred seventy-two".