7428641783808 has 288 divisors, whose sum is σ = 22702506543360. Its totient is φ = 2116571627520.

The previous prime is 7428641783807. The next prime is 7428641783863. The reversal of 7428641783808 is 8083871468247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7428641783807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043198488 + ... + 1043205608.

It is an arithmetic number, because the mean of its divisors is an integer number (78828147720).

Almost surely, 2^{7428641783808} 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 7428641783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351253271680).

7428641783808 is an abundant number, since it is smaller than the sum of its proper divisors (15273864759552).

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

7428641783808 is an frugal number, since it uses more digits than its factorization.

7428641783808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 7428641783808 in words is "seven trillion, four hundred twenty-eight billion, six hundred forty-one million, seven hundred eighty-three thousand, eight hundred eight".