4687441920 has 624 divisors, whose sum is σ = 19497201120. Its totient is φ = 1065222144.

The previous prime is 4687441901. The next prime is 4687441951. The reversal of 4687441920 is 291447864.

4687441920 is a `hidden beast` number, since 46 + 87 + 441 + 92 + 0 = 666.

It is a super-2 number, since 2×4687441920² = 43944223506746572800, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094954 + ... + 27095126.

Almost surely, 2^4687441920 is an apocalyptic number.

4687441920 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 4687441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9748600560).

4687441920 is an abundant number, since it is smaller than the sum of its proper divisors (14809759200).

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

4687441920 is a wasteful number, since it uses less digits than its factorization.

4687441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4687441920 is about 68464.8955304834. The cubic root of 4687441920 is about 1673.5754630585.

The spelling of 4687441920 in words is "four billion, six hundred eighty-seven million, four hundred forty-one thousand, nine hundred twenty".