7227650720400 has 240 divisors, whose sum is σ = 25480875637440. Its totient is φ = 1736651571200.

The previous prime is 7227650720399. The next prime is 7227650720413. The reversal of 7227650720400 is 40270567227.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931185 + ... + 3914384.

It is an arithmetic number, because the mean of its divisors is an integer number (106170315156).

Almost surely, 2^{7227650720400} 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 7227650720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740437818720).

7227650720400 is an abundant number, since it is smaller than the sum of its proper divisors (18253224917040).

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

7227650720400 is a wasteful number, since it uses less digits than its factorization.

7227650720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845714 (or 4845703 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 7227650720400 in words is "seven trillion, two hundred twenty-seven billion, six hundred fifty million, seven hundred twenty thousand, four hundred".