7161278256 has 320 divisors, whose sum is σ = 23364218880. Its totient is φ = 2080512000.

The previous prime is 7161278233. The next prime is 7161278279. The reversal of 7161278256 is 6528721617.

7161278256 is a `hidden beast` number, since 7 + 1 + 612 + 7 + 8 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7161278233) and next prime (7161278279).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 25484836 + ... + 25485116.

It is an arithmetic number, because the mean of its divisors is an integer number (73013184).

Almost surely, 2^7161278256 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 7161278256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682109440).

7161278256 is an abundant number, since it is smaller than the sum of its proper divisors (16202940624).

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

7161278256 is a wasteful number, since it uses less digits than its factorization.

7161278256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 7161278256 is about 84624.3360742050. The cubic root of 7161278256 is about 1927.5109309135.

The spelling of 7161278256 in words is "seven billion, one hundred sixty-one million, two hundred seventy-eight thousand, two hundred fifty-six".