7260271920 has 320 divisors, whose sum is σ = 28163911680. Its totient is φ = 1703116800.

The previous prime is 7260271901. The next prime is 7260271927. The reversal of 7260271920 is 291720627.

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

It is not an unprimeable number, because it can be changed into a prime (7260271927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 731632 + ... + 741488.

It is an arithmetic number, because the mean of its divisors is an integer number (88012224).

Almost surely, 2^7260271920 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 7260271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081955840).

7260271920 is an abundant number, since it is smaller than the sum of its proper divisors (20903639760).

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

7260271920 is a wasteful number, since it uses less digits than its factorization.

7260271920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7260271920 is about 85207.2292707608. The cubic root of 7260271920 is about 1936.3519426536.

The spelling of 7260271920 in words is "seven billion, two hundred sixty million, two hundred seventy-one thousand, nine hundred twenty".