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5479407360 = 283257217571
BaseRepresentation
bin1010001101001100…
…10001111100000000
3112010212110201211100
411012212101330000
542210212013420
62303414414400
7252533123400
oct50646217400
915125421740
105479407360
112361a89939
12108b061400
1369428389b
1439da16800
152210a3190
hex146991f00

5479407360 has 648 divisors, whose sum is σ = 23391544176. Its totient is φ = 1176698880.

The previous prime is 5479407337. The next prime is 5479407379. The reversal of 5479407360 is 637049745.

5479407360 is a `hidden beast` number, since 547 + 9 + 40 + 7 + 3 + 60 = 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 71 ways as a sum of consecutive naturals, for example, 9595875 + ... + 9596445.

It is an arithmetic number, because the mean of its divisors is an integer number (36098062).

Almost surely, 25479407360 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 5479407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695772088).

5479407360 is an abundant number, since it is smaller than the sum of its proper divisors (17912136816).

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

5479407360 is a wasteful number, since it uses less digits than its factorization.

5479407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5479407360 is about 74023.0191224324. The cubic root of 5479407360 is about 1762.9684066644.

The spelling of 5479407360 in words is "five billion, four hundred seventy-nine million, four hundred seven thousand, three hundred sixty".