8242748256 has 96 divisors (see below), whose sum is σ = 22099392000. Its totient is φ = 2689150464.

The previous prime is 8242748249. The next prime is 8242748273. The reversal of 8242748256 is 6528472428.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2353995 + ... + 2357493.

It is an arithmetic number, because the mean of its divisors is an integer number (230202000).

Almost surely, 2^8242748256 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 8242748256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049696000).

8242748256 is an abundant number, since it is smaller than the sum of its proper divisors (13856643744).

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

8242748256 is a wasteful number, since it uses less digits than its factorization.

8242748256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4020 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The square root of 8242748256 is about 90789.5823098664. The cubic root of 8242748256 is about 2020.0277955852.

The spelling of 8242748256 in words is "eight billion, two hundred forty-two million, seven hundred forty-eight thousand, two hundred fifty-six".