6053284224 has 320 divisors, whose sum is σ = 19642539840. Its totient is φ = 1839366144.

The previous prime is 6053284093. The next prime is 6053284241. The reversal of 6053284224 is 4224823506.

6053284224 is a `hidden beast` number, since 60 + 532 + 8 + 42 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13073817 + ... + 13074279.

It is an arithmetic number, because the mean of its divisors is an integer number (61382937).

Almost surely, 2^6053284224 is an apocalyptic number.

6053284224 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 6053284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9821269920).

6053284224 is an abundant number, since it is smaller than the sum of its proper divisors (13589255616).

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

6053284224 is a wasteful number, since it uses less digits than its factorization.

6053284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6053284224 is about 77802.8548576465. The cubic root of 6053284224 is about 1822.4838508959.

The spelling of 6053284224 in words is "six billion, fifty-three million, two hundred eighty-four thousand, two hundred twenty-four".