7828741440 has 336 divisors, whose sum is σ = 29165799936. Its totient is φ = 1916006400.

The previous prime is 7828741439. The next prime is 7828741463. The reversal of 7828741440 is 441478287.

It is a super-3 number, since 3×7828741440³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7899345 + ... + 7900335.

It is an arithmetic number, because the mean of its divisors is an integer number (86802976).

Almost surely, 2^7828741440 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 7828741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582899968).

7828741440 is an abundant number, since it is smaller than the sum of its proper divisors (21337058496).

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

7828741440 is a wasteful number, since it uses less digits than its factorization.

7828741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 7828741440 is about 88480.1754066977. The cubic root of 7828741440 is about 1985.6253860891.

The spelling of 7828741440 in words is "seven billion, eight hundred twenty-eight million, seven hundred forty-one thousand, four hundred forty".