5966654400 has 420 divisors, whose sum is σ = 25068863248. Its totient is φ = 1363599360.

The previous prime is 5966654383. The next prime is 5966654423. The reversal of 5966654400 is 44566695.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 903912 + ... + 910488.

Almost surely, 2^5966654400 is an apocalyptic number.

5966654400 is a gapful number since it is divisible by the number (50) 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 5966654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534431624).

5966654400 is an abundant number, since it is smaller than the sum of its proper divisors (19102208848).

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

5966654400 is a wasteful number, since it uses less digits than its factorization.

5966654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5966654400 is about 77244.1221064749. The cubic root of 5966654400 is about 1813.7480608978.

The spelling of 5966654400 in words is "five billion, nine hundred sixty-six million, six hundred fifty-four thousand, four hundred".