6113366784 has 432 divisors, whose sum is σ = 21249096960. Its totient is φ = 1716940800.

The previous prime is 6113366741. The next prime is 6113366789. The reversal of 6113366784 is 4876633116.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (6113366789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43980987 + ... + 43981125.

Almost surely, 2^6113366784 is an apocalyptic number.

6113366784 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 6113366784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10624548480).

6113366784 is an abundant number, since it is smaller than the sum of its proper divisors (15135730176).

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

6113366784 is a wasteful number, since it uses less digits than its factorization.

6113366784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 252 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 6113366784 is about 78188.0219982575. The cubic root of 6113366784 is about 1828.4937673118.

The spelling of 6113366784 in words is "six billion, one hundred thirteen million, three hundred sixty-six thousand, seven hundred eighty-four".