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66795840000 = 293554859
BaseRepresentation
bin111110001101010101…
…111010001000000000
320101102010011020200000
4332031111322020000
52043244213340000
650404030400000
74553156162211
oct761525721000
9211363136600
1066795840000
112636756825a
1210b41960000
1363b66804a6
143339267408
151b0e190000
hexf8d57a200

66795840000 has 600 divisors, whose sum is σ = 250107377520. Its totient is φ = 17791488000.

The previous prime is 66795839977. The next prime is 66795840049. The reversal of 66795840000 is 4859766.

66795840000 is a `hidden beast` number, since 6 + 67 + 9 + 584 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77759571 + ... + 77760429.

Almost surely, 266795840000 is an apocalyptic number.

66795840000 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 66795840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125053688760).

66795840000 is an abundant number, since it is smaller than the sum of its proper divisors (183311537520).

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

66795840000 is an frugal number, since it uses more digits than its factorization.

66795840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 66795840000 in words is "sixty-six billion, seven hundred ninety-five million, eight hundred forty thousand".