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66400654080 = 2835237110589
BaseRepresentation
bin111101110101110010…
…011001001100000000
320100101120112201111110
4331311302121030000
52041442031412310
650300512243320
74540320150525
oct756562311400
9210346481443
1066400654080
1126184490222
1210a51540540
136352836177
1432dc99714c
151ad962cd20
hexf75c99300

66400654080 has 288 divisors, whose sum is σ = 224425313280. Its totient is φ = 16696852480.

The previous prime is 66400654049. The next prime is 66400654091. The reversal of 66400654080 is 8045600466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6265426 + ... + 6276014.

It is an arithmetic number, because the mean of its divisors is an integer number (779254560).

Almost surely, 266400654080 is an apocalyptic number.

66400654080 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 66400654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112212656640).

66400654080 is an abundant number, since it is smaller than the sum of its proper divisors (158024659200).

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

66400654080 is a wasteful number, since it uses less digits than its factorization.

66400654080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 66400654080 in words is "sixty-six billion, four hundred million, six hundred fifty-four thousand, eighty".