6004413264 has 80 divisors (see below), whose sum is σ = 15947354304. Its totient is φ = 1945574400.

The previous prime is 6004413263. The next prime is 6004413293. The reversal of 6004413264 is 4623144006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004413263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551554 + ... + 562334.

Almost surely, 2^6004413264 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 6004413264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973677152).

6004413264 is an abundant number, since it is smaller than the sum of its proper divisors (9942941040).

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

6004413264 is a wasteful number, since it uses less digits than its factorization.

6004413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6004413264 is about 77488.1491842462. The cubic root of 6004413264 is about 1817.5660076924.

The spelling of 6004413264 in words is "six billion, four million, four hundred thirteen thousand, two hundred sixty-four".