66667199466672 has 240 divisors, whose sum is σ = 215304385470720. Its totient is φ = 18863087113728.

The previous prime is 66667199466661. The next prime is 66667199466691. The reversal of 66667199466672 is 27666499176666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66667199466591 and 66667199466600.

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, 55025203 + ... + 56223725.

It is an arithmetic number, because the mean of its divisors is an integer number (897101606128).

Almost surely, 2^{66667199466672} 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 66667199466672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107652192735360).

66667199466672 is an abundant number, since it is smaller than the sum of its proper divisors (148637186004048).

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

66667199466672 is a wasteful number, since it uses less digits than its factorization.

66667199466672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199080 (or 1199071 counting only the distinct ones).

The product of its digits is 8888527872, while the sum is 81.

The spelling of 66667199466672 in words is "sixty-six trillion, six hundred sixty-seven billion, one hundred ninety-nine million, four hundred sixty-six thousand, six hundred seventy-two".