7225612800 has 240 divisors, whose sum is σ = 27280283712. Its totient is φ = 1651507200.

The previous prime is 7225612783. The next prime is 7225612811. The reversal of 7225612800 is 82165227.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255360 + ... + 282240.

Almost surely, 2^7225612800 is an apocalyptic number.

7225612800 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 7225612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13640141856).

7225612800 is an abundant number, since it is smaller than the sum of its proper divisors (20054670912).

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

7225612800 is a wasteful number, since it uses less digits than its factorization.

7225612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26919 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 7225612800 is about 85003.6046294509. The cubic root of 7225612800 is about 1933.2657711890.

The spelling of 7225612800 in words is "seven billion, two hundred twenty-five million, six hundred twelve thousand, eight hundred".