5646403584 has 288 divisors, whose sum is σ = 17938065600. Its totient is φ = 1703116800.

The previous prime is 5646403547. The next prime is 5646403591. The reversal of 5646403584 is 4853046465.

5646403584 is a `hidden beast` number, since 5 + 6 + 4 + 64 + 0 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8054434 + ... + 8055134.

It is an arithmetic number, because the mean of its divisors is an integer number (62284950).

Almost surely, 2^5646403584 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 5646403584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969032800).

5646403584 is an abundant number, since it is smaller than the sum of its proper divisors (12291662016).

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

5646403584 is a wasteful number, since it uses less digits than its factorization.

5646403584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 5646403584 is about 75142.5550803272. Note that the first 3 decimals coincide. The cubic root of 5646403584 is about 1780.6995087667.

The spelling of 5646403584 in words is "five billion, six hundred forty-six million, four hundred three thousand, five hundred eighty-four".