4562642304 has 256 divisors, whose sum is σ = 14779065600. Its totient is φ = 1374289920.

The previous prime is 4562642263. The next prime is 4562642321. The reversal of 4562642304 is 4032462654.

4562642304 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 642 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9769879 + ... + 9770345.

It is an arithmetic number, because the mean of its divisors is an integer number (57730725).

Almost surely, 2^4562642304 is an apocalyptic number.

4562642304 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 4562642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389532800).

4562642304 is an abundant number, since it is smaller than the sum of its proper divisors (10216423296).

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

4562642304 is a wasteful number, since it uses less digits than its factorization.

4562642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4562642304 is about 67547.3338037853. Note that the first 3 decimals coincide. The cubic root of 4562642304 is about 1658.5891026109.

The spelling of 4562642304 in words is "four billion, five hundred sixty-two million, six hundred forty-two thousand, three hundred four".