6117384000 has 448 divisors, whose sum is σ = 24869924352. Its totient is φ = 1290240000.

The previous prime is 6117383999. The next prime is 6117384017. The reversal of 6117384000 is 4837116.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2182600 + ... + 2185400.

It is an arithmetic number, because the mean of its divisors is an integer number (55513224).

Almost surely, 2^6117384000 is an apocalyptic number.

6117384000 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 6117384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434962176).

6117384000 is an abundant number, since it is smaller than the sum of its proper divisors (18752540352).

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

6117384000 is a wasteful number, since it uses less digits than its factorization.

6117384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6117384000 is about 78213.7072385653. The cubic root of 6117384000 is about 1828.8941929319.

The spelling of 6117384000 in words is "six billion, one hundred seventeen million, three hundred eighty-four thousand".