4187738880 has 540 divisors, whose sum is σ = 16293705120. Its totient is φ = 1026514944.

The previous prime is 4187738879. The next prime is 4187738917. The reversal of 4187738880 is 888377814.

4187738880 is a `hidden beast` number, since 4 + 187 + 7 + 388 + 80 = 666.

4187738880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 17521801 + ... + 17522039.

It is an arithmetic number, because the mean of its divisors is an integer number (30173528).

Almost surely, 2^4187738880 is an apocalyptic number.

4187738880 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 4187738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146852560).

4187738880 is an abundant number, since it is smaller than the sum of its proper divisors (12105966240).

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

4187738880 is a wasteful number, since it uses less digits than its factorization.

4187738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The square root of 4187738880 is about 64712.7412493089. The cubic root of 4187738880 is about 1611.8570806348.

The spelling of 4187738880 in words is "four billion, one hundred eighty-seven million, seven hundred thirty-eight thousand, eight hundred eighty".