4826734416 has 240 divisors, whose sum is σ = 15965248000. Its totient is φ = 1360509696.

The previous prime is 4826734411. The next prime is 4826734439. The reversal of 4826734416 is 6144376284.

4826734416 is a `hidden beast` number, since 48 + 267 + 344 + 1 + 6 = 666.

It is a super-2 number, since 2×4826734416² = 46594730245197722112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4826734411) 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 47 ways as a sum of consecutive naturals, for example, 3901350 + ... + 3902586.

Almost surely, 2^4826734416 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 4826734416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982624000).

4826734416 is an abundant number, since it is smaller than the sum of its proper divisors (11138513584).

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

4826734416 is a wasteful number, since it uses less digits than its factorization.

4826734416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1328 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4826734416 is about 69474.7034250597. The cubic root of 4826734416 is about 1689.9912953113.

The spelling of 4826734416 in words is "four billion, eight hundred twenty-six million, seven hundred thirty-four thousand, four hundred sixteen".