7841273256 has 256 divisors, whose sum is σ = 24069830400. Its totient is φ = 2354946048.

The previous prime is 7841273249. The next prime is 7841273263. The reversal of 7841273256 is 6523721487.

It is an interprime number because it is at equal distance from previous prime (7841273249) and next prime (7841273263).

It is a super-2 number, since 2×7841273256² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8368020 + ... + 8368956.

It is an arithmetic number, because the mean of its divisors is an integer number (94022775).

Almost surely, 2^7841273256 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 7841273256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034915200).

7841273256 is an abundant number, since it is smaller than the sum of its proper divisors (16228557144).

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

7841273256 is a wasteful number, since it uses less digits than its factorization.

7841273256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 7841273256 is about 88550.9641731811. The cubic root of 7841273256 is about 1986.6843143386.

The spelling of 7841273256 in words is "seven billion, eight hundred forty-one million, two hundred seventy-three thousand, two hundred fifty-six".