4829793696 has 384 divisors, whose sum is σ = 17720156160. Its totient is φ = 1245735936.

The previous prime is 4829793679. The next prime is 4829793737. The reversal of 4829793696 is 6963979284.

4829793696 = 445³ + 446³ + ... + 491³.

4829793696 is a `hidden beast` number, since 482 + 9 + 7 + 93 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3694675 + ... + 3695981.

It is an arithmetic number, because the mean of its divisors is an integer number (46146240).

Almost surely, 2^4829793696 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 4829793696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8860078080).

4829793696 is an abundant number, since it is smaller than the sum of its proper divisors (12890362464).

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

4829793696 is a wasteful number, since it uses less digits than its factorization.

4829793696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 4829793696 is about 69496.7171598774. The cubic root of 4829793696 is about 1690.3482699027.

The spelling of 4829793696 in words is "four billion, eight hundred twenty-nine million, seven hundred ninety-three thousand, six hundred ninety-six".