4867188480 has 1152 divisors, whose sum is σ = 22605004800. Its totient is φ = 962150400.

The previous prime is 4867188419. The next prime is 4867188559. The reversal of 4867188480 is 848817684.

4867188480 is a `hidden beast` number, since 4 + 86 + 7 + 1 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 82494691 + ... + 82494749.

It is an arithmetic number, because the mean of its divisors is an integer number (19622400).

Almost surely, 2^4867188480 is an apocalyptic number.

4867188480 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 4867188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11302502400).

4867188480 is an abundant number, since it is smaller than the sum of its proper divisors (17737816320).

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

4867188480 is a wasteful number, since it uses less digits than its factorization.

4867188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 4867188480 is about 69765.2383354346. The cubic root of 4867188480 is about 1694.6995786776.

The spelling of 4867188480 in words is "four billion, eight hundred sixty-seven million, one hundred eighty-eight thousand, four hundred eighty".