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66080596736 = 2871119533329
BaseRepresentation
bin111101100010101101…
…011110001100000000
320022120021022010100202
4331202231132030000
52040313113043421
650205040304332
74526352542660
oct754255361400
9208507263322
1066080596736
112602a857420
12109823120a8
136301434b1b
1432ac2821a0
151abb4ab10b
hexf62b5e300

66080596736 has 288 divisors, whose sum is σ = 176424998400. Its totient is φ = 23923261440.

The previous prime is 66080596649. The next prime is 66080596739. The reversal of 66080596736 is 63769508066.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (66080596739) by changing a digit.

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, 19848320 + ... + 19851648.

It is an arithmetic number, because the mean of its divisors is an integer number (612586800).

Almost surely, 266080596736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66080596736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88212499200).

66080596736 is an abundant number, since it is smaller than the sum of its proper divisors (110344401664).

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

66080596736 is a wasteful number, since it uses less digits than its factorization.

66080596736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 66080596736 in words is "sixty-six billion, eighty million, five hundred ninety-six thousand, seven hundred thirty-six".