5906746800 has 360 divisors, whose sum is σ = 21598298176. Its totient is φ = 1549912320.

The previous prime is 5906746793. The next prime is 5906746801. The reversal of 5906746800 is 86476095.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (5906746801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6511947 + ... + 6512853.

Almost surely, 2^5906746800 is an apocalyptic number.

5906746800 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 5906746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799149088).

5906746800 is an abundant number, since it is smaller than the sum of its proper divisors (15691551376).

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

5906746800 is a wasteful number, since it uses less digits than its factorization.

5906746800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5906746800 is about 76855.3628577733. The cubic root of 5906746800 is about 1807.6573785592.

The spelling of 5906746800 in words is "five billion, nine hundred six million, seven hundred forty-six thousand, eight hundred".