6112876224 has 336 divisors, whose sum is σ = 20457298176. Its totient is φ = 1596672000.

The previous prime is 6112876199. The next prime is 6112876241. The reversal of 6112876224 is 4226782116.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18467739 + ... + 18468069.

It is an arithmetic number, because the mean of its divisors is an integer number (60884816).

Almost surely, 2^6112876224 is an apocalyptic number.

6112876224 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 6112876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228649088).

6112876224 is an abundant number, since it is smaller than the sum of its proper divisors (14344421952).

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

6112876224 is a wasteful number, since it uses less digits than its factorization.

6112876224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 6112876224 is about 78184.8848819259. The cubic root of 6112876224 is about 1828.4448575524. Note that the first 3 decimals are identical.

The spelling of 6112876224 in words is "six billion, one hundred twelve million, eight hundred seventy-six thousand, two hundred twenty-four".