7442666262720 has 336 divisors, whose sum is σ = 27785971799040. Its totient is φ = 1817614245888.

The previous prime is 7442666262709. The next prime is 7442666262721. The reversal of 7442666262720 is 272626662447.

It is not an unprimeable number, because it can be changed into a prime (7442666262721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3972246 + ... + 5537514.

It is an arithmetic number, because the mean of its divisors is an integer number (82696344640).

Almost surely, 2^{7442666262720} 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 7442666262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892985899520).

7442666262720 is an abundant number, since it is smaller than the sum of its proper divisors (20343305536320).

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

7442666262720 is a wasteful number, since it uses less digits than its factorization.

7442666262720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565432 (or 1565419 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 7442666262720 in words is "seven trillion, four hundred forty-two billion, six hundred sixty-six million, two hundred sixty-two thousand, seven hundred twenty".