7829413214 has 32 divisors (see below), whose sum is σ = 13895815680. Its totient is φ = 3237157728.

The previous prime is 7829413213. The next prime is 7829413237. The reversal of 7829413214 is 4123149287.

It is a super-3 number, since 3×7829413214³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7829413213) 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, 547949 + ... + 562055.

It is an arithmetic number, because the mean of its divisors is an integer number (434244240).

Almost surely, 2^7829413214 is an apocalyptic number.

7829413214 is a deficient number, since it is larger than the sum of its proper divisors (6066402466).

7829413214 is a wasteful number, since it uses less digits than its factorization.

7829413214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15512.

The product of its digits is 96768, while the sum is 41.

The square root of 7829413214 is about 88483.9715089688. The cubic root of 7829413214 is about 1985.6821790984.

The spelling of 7829413214 in words is "seven billion, eight hundred twenty-nine million, four hundred thirteen thousand, two hundred fourteen".