5966264304 has 840 divisors, whose sum is σ = 24010306992. Its totient is φ = 1410877440.

The previous prime is 5966264267. The next prime is 5966264327. The reversal of 5966264304 is 4034626695.

5966264304 is a `hidden beast` number, since 596 + 6 + 26 + 4 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5966264304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 81729612 + ... + 81729684.

Almost surely, 2^5966264304 is an apocalyptic number.

5966264304 is a gapful number since it is divisible by the number (54) 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 5966264304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12005153496).

5966264304 is an abundant number, since it is smaller than the sum of its proper divisors (18044042688).

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

5966264304 is a wasteful number, since it uses less digits than its factorization.

5966264304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 5966264304 is about 77241.5969798657. The cubic root of 5966264304 is about 1813.7085328119.

The spelling of 5966264304 in words is "five billion, nine hundred sixty-six million, two hundred sixty-four thousand, three hundred four".