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63540045360 = 243251110179433
BaseRepresentation
bin111011001011010010…
…000010011000110000
320002000012210202001100
4323023102002120300
52020112222422420
645105003404400
74406403321441
oct731322023060
9202005722040
1063540045360
1124a46776590
1210393523700
135cb7ca7b9c
14310aab72c8
1519bd420190
hexecb482630

63540045360 has 240 divisors, whose sum is σ = 235095408288. Its totient is φ = 15250944000.

The previous prime is 63540045337. The next prime is 63540045367. The reversal of 63540045360 is 6354004536.

63540045360 is a `hidden beast` number, since 6 + 3 + 540 + 0 + 4 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63540045367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760204 + ... + 839636.

Almost surely, 263540045360 is an apocalyptic number.

63540045360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63540045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117547704144).

63540045360 is an abundant number, since it is smaller than the sum of its proper divisors (171555362928).

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

63540045360 is a wasteful number, since it uses less digits than its factorization.

63540045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79564 (or 79555 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 63540045360 its reverse (6354004536), we get a palindrome (69894049896).

The spelling of 63540045360 in words is "sixty-three billion, five hundred forty million, forty-five thousand, three hundred sixty".