7227134576640 has 2304 divisors, whose sum is σ = 29672320204800. Its totient is φ = 1610219520000.

The previous prime is 7227134576611. The next prime is 7227134576749. The reversal of 7227134576640 is 466754317227.

7227134576640 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 1 + 3 + 4 + 576 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91482716121 + ... + 91482716199.

It is an arithmetic number, because the mean of its divisors is an integer number (12878611200).

Almost surely, 2^{7227134576640} 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 7227134576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836160102400).

7227134576640 is an abundant number, since it is smaller than the sum of its proper divisors (22445185628160).

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

7227134576640 is a wasteful number, since it uses less digits than its factorization.

7227134576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 7227134576640 in words is "seven trillion, two hundred twenty-seven billion, one hundred thirty-four million, five hundred seventy-six thousand, six hundred forty".