7225194240 has 864 divisors, whose sum is σ = 29662004736. Its totient is φ = 1605795840.

The previous prime is 7225194233. The next prime is 7225194253. The reversal of 7225194240 is 424915227.

7225194240 is a `hidden beast` number, since 7 + 225 + 1 + 9 + 424 + 0 = 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 = 7225194195 and 7225194204.

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 95 ways as a sum of consecutive naturals, for example, 107838687 + ... + 107838753.

It is an arithmetic number, because the mean of its divisors is an integer number (34331024).

Almost surely, 2^7225194240 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 7225194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831002368).

7225194240 is an abundant number, since it is smaller than the sum of its proper divisors (22436810496).

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

7225194240 is a wasteful number, since it uses less digits than its factorization.

7225194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7225194240 is about 85001.1425805559. The cubic root of 7225194240 is about 1933.2284408675.

The spelling of 7225194240 in words is "seven billion, two hundred twenty-five million, one hundred ninety-four thousand, two hundred forty".