107666674067664 has 360 divisors, whose sum is σ = 314609789220480. Its totient is φ = 34349316046848.

The previous prime is 107666674067653. The next prime is 107666674067671. The reversal of 107666674067664 is 466760476666701.

It is a super-2 number, since 2×107666674067664² (a number of 29 digits) contains 22 as substring.

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 = 107666674067592 and 107666674067601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8761217232 + ... + 8761229520.

It is an arithmetic number, because the mean of its divisors is an integer number (873916081168).

Almost surely, 2^{107666674067664} 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 107666674067664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157304894610240).

107666674067664 is an abundant number, since it is smaller than the sum of its proper divisors (206943115152816).

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

107666674067664 is a wasteful number, since it uses less digits than its factorization.

107666674067664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12695 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 107666674067664 in words is "one hundred seven trillion, six hundred sixty-six billion, six hundred seventy-four million, sixty-seven thousand, six hundred sixty-four".