4768440336 has 360 divisors, whose sum is σ = 15919338240. Its totient is φ = 1319846400.

The previous prime is 4768440329. The next prime is 4768440361. The reversal of 4768440336 is 6330448674.

It is a junction number, because it is equal to n+sod(n) for n = 4768440291 and 4768440300.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17726410 + ... + 17726678.

It is an arithmetic number, because the mean of its divisors is an integer number (44220384).

Almost surely, 2^4768440336 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 4768440336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959669120).

4768440336 is an abundant number, since it is smaller than the sum of its proper divisors (11150897904).

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

4768440336 is a wasteful number, since it uses less digits than its factorization.

4768440336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 4768440336 is about 69053.8944303650. The cubic root of 4768440336 is about 1683.1601911996.

The spelling of 4768440336 in words is "four billion, seven hundred sixty-eight million, four hundred forty thousand, three hundred thirty-six".