257545734768 has 1080 divisors, whose sum is σ = 965380116480. Its totient is φ = 62690734080.

The previous prime is 257545734763. The next prime is 257545734791. The reversal of 257545734768 is 867437545752.

It is a happy number.

257545734768 is a `hidden beast` number, since 2 + 5 + 7 + 54 + 573 + 4 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257545734763) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3260072553 + ... + 3260072631.

Almost surely, 2^257545734768 is an apocalyptic number.

257545734768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257545734768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482690058240).

257545734768 is an abundant number, since it is smaller than the sum of its proper divisors (707834381712).

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

257545734768 is a wasteful number, since it uses less digits than its factorization.

257545734768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 158 counting only the distinct ones).

The product of its digits is 197568000, while the sum is 63.

The spelling of 257545734768 in words is "two hundred fifty-seven billion, five hundred forty-five million, seven hundred thirty-four thousand, seven hundred sixty-eight".