7225706741760 has 1632 divisors, whose sum is σ = 28614456037440. Its totient is φ = 1674231939072.

The previous prime is 7225706741717. The next prime is 7225706741797. The reversal of 7225706741760 is 671476075227.

7225706741760 is a `hidden beast` number, since 7 + 2 + 2 + 570 + 6 + 7 + 4 + 1 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7225706741697 and 7225706741706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74491822032 + ... + 74491822128.

It is an arithmetic number, because the mean of its divisors is an integer number (17533367670).

Almost surely, 2^{7225706741760} 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 7225706741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307228018720).

7225706741760 is an abundant number, since it is smaller than the sum of its proper divisors (21388749295680).

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

7225706741760 is a wasteful number, since it uses less digits than its factorization.

7225706741760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 7225706741760 in words is "seven trillion, two hundred twenty-five billion, seven hundred six million, seven hundred forty-one thousand, seven hundred sixty".