6168084480 has 384 divisors, whose sum is σ = 22082673600. Its totient is φ = 1591738368.

The previous prime is 6168084473. The next prime is 6168084499. The reversal of 6168084480 is 844808616.

6168084480 is a `hidden beast` number, since 6 + 16 + 80 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 69304276 + ... + 69304364.

Almost surely, 2^6168084480 is an apocalyptic number.

6168084480 is a gapful number since it is divisible by the number (60) 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 6168084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041336800).

6168084480 is an abundant number, since it is smaller than the sum of its proper divisors (15914589120).

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

6168084480 is an equidigital number, since it uses as much as digits as its factorization.

6168084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 6168084480 is about 78537.1535007477. The cubic root of 6168084480 is about 1833.9328836521.

The spelling of 6168084480 in words is "six billion, one hundred sixty-eight million, eighty-four thousand, four hundred eighty".