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66407226480 = 243257217263421
BaseRepresentation
bin111101110110001011…
…011101110001110000
320100102000220122010200
4331312023131301300
52042000222221410
650301305155200
74540430053200
oct756613356160
9210360818120
1066407226480
112618816a161
1210a5378bb00
136353cc786a
1432dd7c8400
151ad9eca3c0
hexf762ddc70

66407226480 has 720 divisors, whose sum is σ = 276388542144. Its totient is φ = 14197800960.

The previous prime is 66407226467. The next prime is 66407226499. The reversal of 66407226480 is 8462270466.

66407226480 is a `hidden beast` number, since 66 + 40 + 72 + 2 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 157736670 + ... + 157737090.

Almost surely, 266407226480 is an apocalyptic number.

66407226480 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 66407226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138194271072).

66407226480 is an abundant number, since it is smaller than the sum of its proper divisors (209981315664).

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

66407226480 is a wasteful number, since it uses less digits than its factorization.

66407226480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 66407226480 in words is "sixty-six billion, four hundred seven million, two hundred twenty-six thousand, four hundred eighty".