5644615680 has 576 divisors, whose sum is σ = 22649155200. Its totient is φ = 1321205760.

The previous prime is 5644615667. The next prime is 5644615681. The reversal of 5644615680 is 865164465.

5644615680 is a `hidden beast` number, since 5 + 64 + 461 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (5644615681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194641906 + ... + 194641934.

It is an arithmetic number, because the mean of its divisors is an integer number (39321450).

Almost surely, 2^5644615680 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 5644615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324577600).

5644615680 is an abundant number, since it is smaller than the sum of its proper divisors (17004539520).

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

5644615680 is an equidigital number, since it uses as much as digits as its factorization.

5644615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5644615680 is about 75130.6573909746. The cubic root of 5644615680 is about 1780.5115392139.

The spelling of 5644615680 in words is "five billion, six hundred forty-four million, six hundred fifteen thousand, six hundred eighty".