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5664610560 = 28357832539
BaseRepresentation
bin1010100011010001…
…10001100100000000
3112121202222000212010
411101220301210000
543100120014220
62334032132520
7260242252410
oct52150614400
915552860763
105664610560
112447585834
121121097140
136c3759b8b
143ba466640
152324881e0
hex151a31900

5664610560 has 288 divisors, whose sum is σ = 20933176320. Its totient is φ = 1278664704.

The previous prime is 5664610541. The next prime is 5664610597. The reversal of 5664610560 is 650164665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229771 + ... + 2232309.

It is an arithmetic number, because the mean of its divisors is an integer number (72684640).

Almost surely, 25664610560 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 5664610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466588160).

5664610560 is an abundant number, since it is smaller than the sum of its proper divisors (15268565760).

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

5664610560 is a wasteful number, since it uses less digits than its factorization.

5664610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 5664610560 is about 75263.6071418318. The cubic root of 5664610560 is about 1782.6114259372.

The spelling of 5664610560 in words is "five billion, six hundred sixty-four million, six hundred ten thousand, five hundred sixty".