7834043448 has 384 divisors, whose sum is σ = 27447114240. Its totient is φ = 1959552000.

The previous prime is 7834043341. The next prime is 7834043489. The reversal of 7834043448 is 8443404387.

It is a super-2 number, since 2×7834043448² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 37128063 + ... + 37128273.

It is an arithmetic number, because the mean of its divisors is an integer number (71476860).

Almost surely, 2^7834043448 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 7834043448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723557120).

7834043448 is an abundant number, since it is smaller than the sum of its proper divisors (19613070792).

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

7834043448 is a wasteful number, since it uses less digits than its factorization.

7834043448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

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

The square root of 7834043448 is about 88510.1318946029. The cubic root of 7834043448 is about 1986.0735392611.

The spelling of 7834043448 in words is "seven billion, eight hundred thirty-four million, forty-three thousand, four hundred forty-eight".