6162678144 has 384 divisors, whose sum is σ = 21385728000. Its totient is φ = 1665404928.

The previous prime is 6162678133. The next prime is 6162678149. The reversal of 6162678144 is 4418762616.

6162678144 is a `hidden beast` number, since 6 + 1 + 626 + 7 + 8 + 14 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6162678144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6162678149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27635217 + ... + 27635439.

It is an arithmetic number, because the mean of its divisors is an integer number (55692000).

Almost surely, 2^6162678144 is an apocalyptic number.

6162678144 is a gapful number since it is divisible by the number (64) 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 6162678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864000).

6162678144 is an abundant number, since it is smaller than the sum of its proper divisors (15223049856).

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

6162678144 is a wasteful number, since it uses less digits than its factorization.

6162678144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

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

The square root of 6162678144 is about 78502.7269844812. The cubic root of 6162678144 is about 1833.3969119843.

The spelling of 6162678144 in words is "six billion, one hundred sixty-two million, six hundred seventy-eight thousand, one hundred forty-four".