7642442223360 has 1512 divisors, whose sum is σ = 32480167814640. Its totient is φ = 1716630257664.

The previous prime is 7642442223359. The next prime is 7642442223391. The reversal of 7642442223360 is 633222442467.

It is a happy number.

7642442223360 is a `hidden beast` number, since 7 + 6 + 4 + 24 + 42 + 223 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2697648504 + ... + 2697651336.

It is an arithmetic number, because the mean of its divisors is an integer number (21481592470).

Almost surely, 2^{7642442223360} is an apocalyptic number.

7642442223360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7642442223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240083907320).

7642442223360 is an abundant number, since it is smaller than the sum of its proper divisors (24837725591280).

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

7642442223360 is an equidigital number, since it uses as much as digits as its factorization.

7642442223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 7642442223360 in words is "seven trillion, six hundred forty-two billion, four hundred forty-two million, two hundred twenty-three thousand, three hundred sixty".