7225676640 has 576 divisors, whose sum is σ = 30838219776. Its totient is φ = 1499959296.

The previous prime is 7225676639. The next prime is 7225676669. The reversal of 7225676640 is 466765227.

7225676640 is a `hidden beast` number, since 7 + 22 + 567 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8779269 + ... + 8780091.

It is an arithmetic number, because the mean of its divisors is an integer number (53538576).

Almost surely, 2^7225676640 is an apocalyptic number.

7225676640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7225676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15419109888).

7225676640 is an abundant number, since it is smaller than the sum of its proper divisors (23612543136).

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

7225676640 is a wasteful number, since it uses less digits than its factorization.

7225676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 7225676640 is about 85003.9801421086. The cubic root of 7225676640 is about 1933.2714647925.

It can be divided in two parts, 7225 and 676640, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 7225676640 in words is "seven billion, two hundred twenty-five million, six hundred seventy-six thousand, six hundred forty".