257633040396672 has 640 divisors, whose sum is σ = 877635497772000. Its totient is φ = 74502498484224.

The previous prime is 257633040396643. The next prime is 257633040396703. The reversal of 257633040396672 is 276693040336752.

257633040396672 is a `hidden beast` number, since 2 + 5 + 76 + 3 + 3 + 0 + 403 + 96 + 6 + 72 = 666.

257633040396672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122868354 + ... + 124947582.

Almost surely, 2^{257633040396672} 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 257633040396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438817748886000).

257633040396672 is an abundant number, since it is smaller than the sum of its proper divisors (620002457375328).

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

257633040396672 is a wasteful number, since it uses less digits than its factorization.

257633040396672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079328 (or 2079307 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 63.

The spelling of 257633040396672 in words is "two hundred fifty-seven trillion, six hundred thirty-three billion, forty million, three hundred ninety-six thousand, six hundred seventy-two".