4638881520 has 480 divisors, whose sum is σ = 19391508864. Its totient is φ = 967680000.

The previous prime is 4638881453. The next prime is 4638881539. The reversal of 4638881520 is 251888364.

4638881520 is a `hidden beast` number, since 4 + 638 + 8 + 8 + 1 + 5 + 2 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6617170 + ... + 6617870.

Almost surely, 2^4638881520 is an apocalyptic number.

4638881520 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 4638881520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695754432).

4638881520 is an abundant number, since it is smaller than the sum of its proper divisors (14752627344).

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

4638881520 is a wasteful number, since it uses less digits than its factorization.

4638881520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4638881520 is about 68109.3350430027. The cubic root of 4638881520 is about 1667.7761547689.

The spelling of 4638881520 in words is "four billion, six hundred thirty-eight million, eight hundred eighty-one thousand, five hundred twenty".