5641764480 has 512 divisors, whose sum is σ = 22173004800. Its totient is φ = 1344245760.

The previous prime is 5641764467. The next prime is 5641764577. The reversal of 5641764480 is 844671465.

5641764480 is a `hidden beast` number, since 564 + 1 + 7 + 6 + 4 + 4 + 80 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12735139 + ... + 12735581.

It is an arithmetic number, because the mean of its divisors is an integer number (43306650).

Almost surely, 2^5641764480 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 5641764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11086502400).

5641764480 is an abundant number, since it is smaller than the sum of its proper divisors (16531240320).

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

5641764480 is a wasteful number, since it uses less digits than its factorization.

5641764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5641764480 is about 75111.6800504422. The cubic root of 5641764480 is about 1780.2116989301.

The spelling of 5641764480 in words is "five billion, six hundred forty-one million, seven hundred sixty-four thousand, four hundred eighty".