6064014456 has 112 divisors (see below), whose sum is σ = 17444411160. Its totient is φ = 1974248640.

The previous prime is 6064014449. The next prime is 6064014457. The reversal of 6064014456 is 6544104606.

6064014456 is a `hidden beast` number, since 6 + 0 + 640 + 1 + 4 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6064014456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6064014457) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238686 + ... + 262866.

Almost surely, 2^6064014456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6064014456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722205580).

6064014456 is an abundant number, since it is smaller than the sum of its proper divisors (11380396704).

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

6064014456 is a wasteful number, since it uses less digits than its factorization.

6064014456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24248 (or 24229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6064014456 is about 77871.7821550271. The cubic root of 6064014456 is about 1823.5600782896.

The spelling of 6064014456 in words is "six billion, sixty-four million, fourteen thousand, four hundred fifty-six".