7271038656 has 336 divisors, whose sum is σ = 25203302400. Its totient is φ = 2049255936.

The previous prime is 7271038639. The next prime is 7271038657. The reversal of 7271038656 is 6568301727.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7271038657) 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, 6688545 + ... + 6689631.

Almost surely, 2^7271038656 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 7271038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601651200).

7271038656 is an abundant number, since it is smaller than the sum of its proper divisors (17932263744).

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

7271038656 is a wasteful number, since it uses less digits than its factorization.

7271038656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7271038656 is about 85270.3855743599. The cubic root of 7271038656 is about 1937.3086512160.

The spelling of 7271038656 in words is "seven billion, two hundred seventy-one million, thirty-eight thousand, six hundred fifty-six".