4838611680 has 384 divisors, whose sum is σ = 19726156800. Its totient is φ = 1084741632.

The previous prime is 4838611663. The next prime is 4838611703. The reversal of 4838611680 is 861168384.

It is a happy number.

4838611680 is a `hidden beast` number, since 483 + 8 + 6 + 1 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1601211 + ... + 1604229.

It is an arithmetic number, because the mean of its divisors is an integer number (51370200).

Almost surely, 2^4838611680 is an apocalyptic number.

4838611680 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 4838611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863078400).

4838611680 is an abundant number, since it is smaller than the sum of its proper divisors (14887545120).

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

4838611680 is a wasteful number, since it uses less digits than its factorization.

4838611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4838611680 is about 69560.1299596256. The cubic root of 4838611680 is about 1691.3763608814.

The spelling of 4838611680 in words is "four billion, eight hundred thirty-eight million, six hundred eleven thousand, six hundred eighty".