7206067440 has 960 divisors, whose sum is σ = 31587978240. Its totient is φ = 1443594240.

The previous prime is 7206067439. The next prime is 7206067447. The reversal of 7206067440 is 447606027.

7206067440 is a `hidden beast` number, since 7 + 2 + 0 + 606 + 7 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7206067395 and 7206067404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7206067447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40257271 + ... + 40257449.

It is an arithmetic number, because the mean of its divisors is an integer number (32904144).

Almost surely, 2^7206067440 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 7206067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793989120).

7206067440 is an abundant number, since it is smaller than the sum of its proper divisors (24381910800).

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

7206067440 is a wasteful number, since it uses less digits than its factorization.

7206067440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7206067440 is about 84888.5589464210. The cubic root of 7206067440 is about 1931.5210288553.

The spelling of 7206067440 in words is "seven billion, two hundred six million, sixty-seven thousand, four hundred forty".