670035760128 has 352 divisors, whose sum is σ = 2284203084800. Its totient is φ = 190053900288.

The previous prime is 670035760091. The next prime is 670035760169. The reversal of 670035760128 is 821067530076.

670035760128 is a `hidden beast` number, since 6 + 7 + 0 + 0 + 35 + 7 + 601 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26889051 + ... + 26913957.

Almost surely, 2^670035760128 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 670035760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142101542400).

670035760128 is an abundant number, since it is smaller than the sum of its proper divisors (1614167324672).

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

670035760128 is a wasteful number, since it uses less digits than its factorization.

670035760128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25082 (or 25058 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 670035760128 in words is "six hundred seventy billion, thirty-five million, seven hundred sixty thousand, one hundred twenty-eight".