4829626296 has 320 divisors, whose sum is σ = 15618873600. Its totient is φ = 1379980800.

The previous prime is 4829626253. The next prime is 4829626303. The reversal of 4829626296 is 6926269284.

It is a happy number.

4829626296 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 6 + 2 + 629 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14590851 + ... + 14591181.

It is an arithmetic number, because the mean of its divisors is an integer number (48808980).

Almost surely, 2^4829626296 is an apocalyptic number.

4829626296 is a gapful number since it is divisible by the number (46) 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 4829626296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809436800).

4829626296 is an abundant number, since it is smaller than the sum of its proper divisors (10789247304).

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

4829626296 is a wasteful number, since it uses less digits than its factorization.

4829626296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 459 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 4829626296 is about 69495.5127760059. The cubic root of 4829626296 is about 1690.3287405959.

The spelling of 4829626296 in words is "four billion, eight hundred twenty-nine million, six hundred twenty-six thousand, two hundred ninety-six".