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66995527680 = 21335553127
BaseRepresentation
bin111110011001001111…
…101010000000000000
320101221000220102200000
4332121033222000000
52044201323341210
650435522400000
74561132406064
oct763117520000
9211830812600
1066995527680
112645a2575a4
1210b98800000
136418b58593
1433579a7aa4
151b21986ac0
hexf993ea000

66995527680 has 672 divisors, whose sum is σ = 247314622464. Its totient is φ = 17390370816.

The previous prime is 66995527637. The next prime is 66995527813. The reversal of 66995527680 is 8672559966.

66995527680 is a `hidden beast` number, since 6 + 6 + 9 + 9 + 552 + 76 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527523777 + ... + 527523903.

It is an arithmetic number, because the mean of its divisors is an integer number (368027712).

Almost surely, 266995527680 is an apocalyptic number.

66995527680 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 66995527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123657311232).

66995527680 is an abundant number, since it is smaller than the sum of its proper divisors (180319094784).

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

66995527680 is an equidigital number, since it uses as much as digits as its factorization.

66995527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 66995527680 in words is "sixty-six billion, nine hundred ninety-five million, five hundred twenty-seven thousand, six hundred eighty".