667077728256 has 384 divisors, whose sum is σ = 2121161515200. Its totient is φ = 206391214080.

The previous prime is 667077728227. The next prime is 667077728309. The reversal of 667077728256 is 652827770766.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 667077728193 and 667077728202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68617476 + ... + 68627196.

Almost surely, 2^667077728256 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 667077728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060580757600).

667077728256 is an abundant number, since it is smaller than the sum of its proper divisors (1454083786944).

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

667077728256 is a wasteful number, since it uses less digits than its factorization.

667077728256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9816 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 667077728256 in words is "six hundred sixty-seven billion, seventy-seven million, seven hundred twenty-eight thousand, two hundred fifty-six".