7311625056 has 336 divisors, whose sum is σ = 22796185104. Its totient is φ = 2304433152.

The previous prime is 7311625051. The next prime is 7311625067. The reversal of 7311625056 is 6505261137.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7311625056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7311625051) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 37114750 + ... + 37114946.

It is an arithmetic number, because the mean of its divisors is an integer number (67845789).

Almost surely, 2^7311625056 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 7311625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398092552).

7311625056 is an abundant number, since it is smaller than the sum of its proper divisors (15484560048).

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

7311625056 is a wasteful number, since it uses less digits than its factorization.

7311625056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7311625056 is about 85508.0408850536. The cubic root of 7311625056 is about 1940.9066028651.

The spelling of 7311625056 in words is "seven billion, three hundred eleven million, six hundred twenty-five thousand, fifty-six".