5645376000 has 840 divisors, whose sum is σ = 23199147972. Its totient is φ = 1368576000.

The previous prime is 5645375987. The next prime is 5645376017. The reversal of 5645376000 is 6735465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5645376000 is a `hidden beast` number, since 5 + 6 + 45 + 3 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3816274176 + 1829101824 = 61776^2 + 42768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 83 ways as a sum of consecutive naturals, for example, 513215995 + ... + 513216005.

Almost surely, 2^5645376000 is an apocalyptic number.

5645376000 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 5645376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11599573986).

5645376000 is an abundant number, since it is smaller than the sum of its proper divisors (17553771972).

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

5645376000 is an frugal number, since it uses more digits than its factorization.

5645376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5645376000 is about 75135.7172056007. The cubic root of 5645376000 is about 1780.5914795695.

The spelling of 5645376000 in words is "five billion, six hundred forty-five million, three hundred seventy-six thousand".