247740000768 has 800 divisors, whose sum is σ = 838919972352. Its totient is φ = 72559411200.

The previous prime is 247740000751. The next prime is 247740000817. The reversal of 247740000768 is 867000047742.

It is a super-2 number, since 2×247740000768² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4061311458 + ... + 4061311518.

Almost surely, 2^247740000768 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 247740000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419459986176).

247740000768 is an abundant number, since it is smaller than the sum of its proper divisors (591179971584).

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

247740000768 is an frugal number, since it uses more digits than its factorization.

247740000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 247740000768 in words is "two hundred forty-seven billion, seven hundred forty million, seven hundred sixty-eight", and thus it is an aban number.