7443828304020 has 288 divisors, whose sum is σ = 23435411231232. Its totient is φ = 1911139743744.

The previous prime is 7443828304013. The next prime is 7443828304039. The reversal of 7443828304020 is 204038283447.

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 95 ways as a sum of consecutive naturals, for example, 1318188837 + ... + 1318194483.

It is an arithmetic number, because the mean of its divisors is an integer number (81372955664).

Almost surely, 2^{7443828304020} 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 7443828304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11717705615616).

7443828304020 is an abundant number, since it is smaller than the sum of its proper divisors (15991582927212).

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

7443828304020 is a wasteful number, since it uses less digits than its factorization.

7443828304020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8111 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 7443828304020 in words is "seven trillion, four hundred forty-three billion, eight hundred twenty-eight million, three hundred four thousand, twenty".