6013364544 has 168 divisors, whose sum is σ = 18905402880. Its totient is φ = 1812326400.

The previous prime is 6013364501. The next prime is 6013364597. The reversal of 6013364544 is 4454633106.

6013364544 is a `hidden beast` number, since 6 + 0 + 1 + 3 + 3 + 645 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6013364499 and 6013364508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207692 + ... + 1212660.

It is an arithmetic number, because the mean of its divisors is an integer number (112532160).

Almost surely, 2^6013364544 is an apocalyptic number.

6013364544 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 6013364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452701440).

6013364544 is an abundant number, since it is smaller than the sum of its proper divisors (12892038336).

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

6013364544 is a wasteful number, since it uses less digits than its factorization.

6013364544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6013364544 is about 77545.8866994246. The cubic root of 6013364544 is about 1818.4687583548.

The spelling of 6013364544 in words is "six billion, thirteen million, three hundred sixty-four thousand, five hundred forty-four".