7541120216 has 64 divisors (see below), whose sum is σ = 17749670400. Its totient is φ = 2928676608.

The previous prime is 7541120207. The next prime is 7541120263. The reversal of 7541120216 is 6120211457.

It is a super-2 number, since 2×7541120216² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 129605 + ... + 178548.

It is an arithmetic number, because the mean of its divisors is an integer number (277338600).

Almost surely, 2^7541120216 is an apocalyptic number.

7541120216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

7541120216 is an abundant number, since it is smaller than the sum of its proper divisors (10208550184).

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

7541120216 is a wasteful number, since it uses less digits than its factorization.

7541120216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308208 (or 308204 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 7541120216 is about 86839.6235367243. The cubic root of 7541120216 is about 1961.0046404526.

The spelling of 7541120216 in words is "seven billion, five hundred forty-one million, one hundred twenty thousand, two hundred sixteen".