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66337896960 = 2932531131709
BaseRepresentation
bin111101110010000010…
…111111101000000000
320100020012110022220200
4331302002333220000
52041330000200320
650250351205200
74535625551256
oct756202775000
9210205408820
1066337896960
1126152016935
1210a34516800
13634283228a
1432d44dc5d6
151ad3d83290
hexf720bfa00

66337896960 has 480 divisors, whose sum is σ = 239305397760. Its totient is φ = 16964812800.

The previous prime is 66337896953. The next prime is 66337896973. The reversal of 66337896960 is 6969873366.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 93565086 + ... + 93565794.

It is an arithmetic number, because the mean of its divisors is an integer number (498552912).

Almost surely, 266337896960 is an apocalyptic number.

66337896960 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 66337896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119652698880).

66337896960 is an abundant number, since it is smaller than the sum of its proper divisors (172967500800).

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

66337896960 is a wasteful number, since it uses less digits than its factorization.

66337896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 66337896960 in words is "sixty-six billion, three hundred thirty-seven million, eight hundred ninety-six thousand, nine hundred sixty".