4642076824 has 128 divisors (see below), whose sum is σ = 11147673600. Its totient is φ = 1759731840.

The previous prime is 4642076819. The next prime is 4642076861. The reversal of 4642076824 is 4286702464.

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, 6455937 + ... + 6456655.

It is an arithmetic number, because the mean of its divisors is an integer number (87091200).

Almost surely, 2^4642076824 is an apocalyptic number.

4642076824 is a gapful number since it is divisible by the number (44) 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 4642076824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573836800).

4642076824 is an abundant number, since it is smaller than the sum of its proper divisors (6505596776).

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

4642076824 is a wasteful number, since it uses less digits than its factorization.

4642076824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The square root of 4642076824 is about 68132.7881713350. The cubic root of 4642076824 is about 1668.1589933689.

The spelling of 4642076824 in words is "four billion, six hundred forty-two million, seventy-six thousand, eight hundred twenty-four".