7225665400800 has 1296 divisors, whose sum is σ = 32622034837392. Its totient is φ = 1488059596800.

The previous prime is 7225665400741. The next prime is 7225665400813. The reversal of 7225665400800 is 80045665227.

7225665400800 is a `hidden beast` number, since 7 + 2 + 2 + 566 + 5 + 4 + 0 + 0 + 80 + 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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 438522162 + ... + 438538638.

It is an arithmetic number, because the mean of its divisors is an integer number (25171323177).

Almost surely, 2^{7225665400800} is an apocalyptic number.

7225665400800 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 7225665400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311017418696).

7225665400800 is an abundant number, since it is smaller than the sum of its proper divisors (25396369436592).

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

7225665400800 is a wasteful number, since it uses less digits than its factorization.

7225665400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16641 (or 16618 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

It can be divided in two parts, 7225665 and 400800, that added together give a triangular number (7626465 = T₃₉₀₅).

The spelling of 7225665400800 in words is "seven trillion, two hundred twenty-five billion, six hundred sixty-five million, four hundred thousand, eight hundred".