7434049896 has 432 divisors, whose sum is σ = 26679334500. Its totient is φ = 1853300736.

The previous prime is 7434049859. The next prime is 7434049897. The reversal of 7434049896 is 6989404347.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7290768996 + 143280900 = 85386^2 + 11970^2 .

It is a super-3 number, since 3×7434049896³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (7434049897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16556680 + ... + 16557128.

Almost surely, 2^7434049896 is an apocalyptic number.

7434049896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7434049896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339667250).

7434049896 is an abundant number, since it is smaller than the sum of its proper divisors (19245284604).

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

7434049896 is a wasteful number, since it uses less digits than its factorization.

7434049896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 7434049896 is about 86220.9365293604. The cubic root of 7434049896 is about 1951.6794557019.

The spelling of 7434049896 in words is "seven billion, four hundred thirty-four million, forty-nine thousand, eight hundred ninety-six".