7428693205344 has 96 divisors (see below), whose sum is σ = 19699327388160. Its totient is φ = 2451076992000.

The previous prime is 7428693205321. The next prime is 7428693205363. The reversal of 7428693205344 is 4435023968247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7428693205344² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3161517 + ... + 4985235.

It is an arithmetic number, because the mean of its divisors is an integer number (205201326960).

Almost surely, 2^{7428693205344} 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 7428693205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849663694080).

7428693205344 is an abundant number, since it is smaller than the sum of its proper divisors (12270634182816).

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

7428693205344 is a wasteful number, since it uses less digits than its factorization.

7428693205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824164 (or 1824156 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 7428693205344 in words is "seven trillion, four hundred twenty-eight billion, six hundred ninety-three million, two hundred five thousand, three hundred forty-four".