7271026416 has 120 divisors (see below), whose sum is σ = 20536847760. Its totient is φ = 2401394688.

The previous prime is 7271026397. The next prime is 7271026417. The reversal of 7271026416 is 6146201727.

7271026416 is a `hidden beast` number, since 7 + 2 + 7 + 1 + 0 + 2 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7271026417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11033095 + ... + 11033753.

It is an arithmetic number, because the mean of its divisors is an integer number (171140398).

Almost surely, 2^7271026416 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 7271026416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10268423880).

7271026416 is an abundant number, since it is smaller than the sum of its proper divisors (13265821344).

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

7271026416 is a wasteful number, since it uses less digits than its factorization.

7271026416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7271026416 is about 85270.3138026359. The cubic root of 7271026416 is about 1937.3075641328.

The spelling of 7271026416 in words is "seven billion, two hundred seventy-one million, twenty-six thousand, four hundred sixteen".