5664984120 has 384 divisors, whose sum is σ = 20546136000. Its totient is φ = 1347010560.

The previous prime is 5664984107. The next prime is 5664984133. The reversal of 5664984120 is 214894665.

5664984120 is a `hidden beast` number, since 566 + 4 + 9 + 84 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5664984107) and next prime (5664984133).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10471050 + ... + 10471590.

Almost surely, 2^5664984120 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 5664984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273068000).

5664984120 is an abundant number, since it is smaller than the sum of its proper divisors (14881151880).

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

5664984120 is a wasteful number, since it uses less digits than its factorization.

5664984120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5664984120 is about 75266.0887784133. The cubic root of 5664984120 is about 1782.6506106073.

The spelling of 5664984120 in words is "five billion, six hundred sixty-four million, nine hundred eighty-four thousand, one hundred twenty".