1257198768 has 240 divisors, whose sum is σ = 4232157696. Its totient is φ = 340623360.

The previous prime is 1257198763. The next prime is 1257198793. The reversal of 1257198768 is 8678917521.

1257198768 is a `hidden beast` number, since 1 + 2 + 571 + 9 + 8 + 7 + 68 = 666.

1257198768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1257198763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4891696 + ... + 4891952.

Almost surely, 2^1257198768 is an apocalyptic number.

1257198768 is a gapful number since it is divisible by the number (18) 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 1257198768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116078848).

1257198768 is an abundant number, since it is smaller than the sum of its proper divisors (2974958928).

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

1257198768 is a wasteful number, since it uses less digits than its factorization.

1257198768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The square root of 1257198768 is about 35456.9988577714. The cubic root of 1257198768 is about 1079.2812913737.

The spelling of 1257198768 in words is "one billion, two hundred fifty-seven million, one hundred ninety-eight thousand, seven hundred sixty-eight".