4642788000 has 192 divisors, whose sum is σ = 15262490880. Its totient is φ = 1233792000.

The previous prime is 4642787993. The next prime is 4642788001. The reversal of 4642788000 is 8872464.

It is a self number, because there is not a number n which added to its sum of digits gives 4642788000.

It is not an unprimeable number, because it can be changed into a prime (4642788001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5051541 + ... + 5052459.

It is an arithmetic number, because the mean of its divisors is an integer number (79492140).

Almost surely, 2^4642788000 is an apocalyptic number.

4642788000 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 4642788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631245440).

4642788000 is an abundant number, since it is smaller than the sum of its proper divisors (10619702880).

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

4642788000 is a wasteful number, since it uses less digits than its factorization.

4642788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 4642788000 is about 68138.0070151747. The cubic root of 4642788000 is about 1668.2441775157.

The spelling of 4642788000 in words is "four billion, six hundred forty-two million, seven hundred eighty-eight thousand".