4768388352 has 810 divisors, whose sum is σ = 18798973578. Its totient is φ = 1191407616.

The previous prime is 4768388321. The next prime is 4768388363. The reversal of 4768388352 is 2538838674.

It can be written as a sum of positive squares in only one way, i.e., 3301191936 + 1467196416 = 57456^2 + 38304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 250967799 + ... + 250967817.

Almost surely, 2^4768388352 is an apocalyptic number.

4768388352 is a gapful number since it is divisible by the number (42) 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 4768388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9399486789).

4768388352 is an abundant number, since it is smaller than the sum of its proper divisors (14030585226).

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

4768388352 is a wasteful number, since it uses less digits than its factorization.

4768388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 44 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 4768388352 is about 69053.5180276863. The cubic root of 4768388352 is about 1683.1540747540.

The spelling of 4768388352 in words is "four billion, seven hundred sixty-eight million, three hundred eighty-eight thousand, three hundred fifty-two".