4662880128 has 256 divisors, whose sum is σ = 14429491200. Its totient is φ = 1480550400.

The previous prime is 4662880127. The next prime is 4662880129. The reversal of 4662880128 is 8210882664.

4662880128 is a `hidden beast` number, since 4 + 6 + 628 + 8 + 0 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4662880127) and next prime (4662880129).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4662880127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7606350 + ... + 7606962.

It is an arithmetic number, because the mean of its divisors is an integer number (56365200).

Almost surely, 2^4662880128 is an apocalyptic number.

4662880128 is a gapful number since it is divisible by the number (48) 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 4662880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214745600).

4662880128 is an abundant number, since it is smaller than the sum of its proper divisors (9766611072).

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

4662880128 is a wasteful number, since it uses less digits than its factorization.

4662880128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4662880128 is about 68285.2848569880. The cubic root of 4662880128 is about 1670.6472120577.

It can be divided in two parts, 46628 and 80128, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 4662880128 in words is "four billion, six hundred sixty-two million, eight hundred eighty thousand, one hundred twenty-eight".