7841283408 has 360 divisors, whose sum is σ = 26859530880. Its totient is φ = 2207761920.

The previous prime is 7841283391. The next prime is 7841283419. The reversal of 7841283408 is 8043821487.

It is a super-2 number, since 2×7841283408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15050188 + ... + 15050708.

It is an arithmetic number, because the mean of its divisors is an integer number (74609808).

Almost surely, 2^7841283408 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 7841283408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429765440).

7841283408 is an abundant number, since it is smaller than the sum of its proper divisors (19018247472).

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

7841283408 is a wasteful number, since it uses less digits than its factorization.

7841283408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 7841283408 is about 88551.0214960844. The cubic root of 7841283408 is about 1986.6851717168.

The spelling of 7841283408 in words is "seven billion, eight hundred forty-one million, two hundred eighty-three thousand, four hundred eight".