7282288090602 has 320 divisors, whose sum is σ = 20053072512000. Its totient is φ = 1968970096800.

The previous prime is 7282288090537. The next prime is 7282288090657. The reversal of 7282288090602 is 2060908822827.

7282288090602 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 28 + 8 + 0 + 9 + 0 + 602 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1109594173 + ... + 1109600735.

It is an arithmetic number, because the mean of its divisors is an integer number (62665851600).

Almost surely, 2^{7282288090602} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7282288090602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026536256000).

7282288090602 is an abundant number, since it is smaller than the sum of its proper divisors (12770784421398).

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

7282288090602 is a wasteful number, since it uses less digits than its factorization.

7282288090602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 7282288090602 in words is "seven trillion, two hundred eighty-two billion, two hundred eighty-eight million, ninety thousand, six hundred two".