5966677440 has 336 divisors, whose sum is σ = 21052231200. Its totient is φ = 1550721024.

The previous prime is 5966677427. The next prime is 5966677501. The reversal of 5966677440 is 447766695.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26055246 + ... + 26055474.

It is an arithmetic number, because the mean of its divisors is an integer number (62655450).

Almost surely, 2^5966677440 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 5966677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10526115600).

5966677440 is an abundant number, since it is smaller than the sum of its proper divisors (15085553760).

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

5966677440 is a wasteful number, since it uses less digits than its factorization.

5966677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 5966677440 is about 77244.2712438923. The cubic root of 5966677440 is about 1813.7503954669.

The spelling of 5966677440 in words is "five billion, nine hundred sixty-six million, six hundred seventy-seven thousand, four hundred forty".