4642704000 has 512 divisors, whose sum is σ = 18674323200. Its totient is φ = 1124352000.

The previous prime is 4642703993. The next prime is 4642704007. The reversal of 4642704000 is 4072464.

It is an interprime number because it is at equal distance from previous prime (4642703993) and next prime (4642704007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4642704007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751512 + ... + 4752488.

Almost surely, 2^4642704000 is an apocalyptic number.

4642704000 is a gapful number since it is divisible by the number (40) 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 4642704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9337161600).

4642704000 is an abundant number, since it is smaller than the sum of its proper divisors (14031619200).

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

4642704000 is a wasteful number, since it uses less digits than its factorization.

4642704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4642704000 is about 68137.3906163129. The cubic root of 4642704000 is about 1668.2341165096.

Adding to 4642704000 its reverse (4072464), we get a palindrome (4646776464).

The spelling of 4642704000 in words is "four billion, six hundred forty-two million, seven hundred four thousand".