7429685856 has 192 divisors, whose sum is σ = 21052120320. Its totient is φ = 2289530880.

The previous prime is 7429685789. The next prime is 7429685863. The reversal of 7429685856 is 6585869247.

It is a self number, because there is not a number n which added to its sum of digits gives 7429685856.

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 31 ways as a sum of consecutive naturals, for example, 6344151 + ... + 6345321.

It is an arithmetic number, because the mean of its divisors is an integer number (109646460).

Almost surely, 2^7429685856 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 7429685856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10526060160).

7429685856 is an abundant number, since it is smaller than the sum of its proper divisors (13622434464).

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

7429685856 is a wasteful number, since it uses less digits than its factorization.

7429685856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1301 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The square root of 7429685856 is about 86195.6255038503. The cubic root of 7429685856 is about 1951.2974802195.

The spelling of 7429685856 in words is "seven billion, four hundred twenty-nine million, six hundred eighty-five thousand, eight hundred fifty-six".