7420002048337 has 16 divisors (see below), whose sum is σ = 7641228645072. Its totient is φ = 7199889223680.

The previous prime is 7420002048323. The next prime is 7420002048367. The reversal of 7420002048337 is 7338402000247.

It can be written as a sum of positive squares in 8 ways, for example, as 428293022481 + 6991709025856 = 654441^2 + 2644184^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7420002048337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7420002048337.

It is not an unprimeable number, because it can be changed into a prime (7420002048367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21263287 + ... + 21609427.

It is an arithmetic number, because the mean of its divisors is an integer number (477576790317).

Almost surely, 2^{7420002048337} is an apocalyptic number.

It is an amenable number.

7420002048337 is a deficient number, since it is larger than the sum of its proper divisors (221226596735).

7420002048337 is a wasteful number, since it uses less digits than its factorization.

7420002048337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347748.

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 7420002048337 in words is "seven trillion, four hundred twenty billion, two million, forty-eight thousand, three hundred thirty-seven".