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66342380940 = 223451121947379
BaseRepresentation
bin111101110010010100…
…000110010110001100
320100020111220010210000
4331302110012112030
52041332122142230
650251031244300
74536011635143
oct756224062614
9210214803700
1066342380940
11261545a9800
1210a35b19690
136343742214
1432d4d4875a
151ad446bb60
hexf7250658c

66342380940 has 720 divisors, whose sum is σ = 246570508800. Its totient is φ = 14872999680.

The previous prime is 66342380939. The next prime is 66342380941. The reversal of 66342380940 is 4908324366.

66342380940 is a `hidden beast` number, since 6 + 63 + 423 + 80 + 94 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66342380939) and next prime (66342380941).

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

It is not an unprimeable number, because it can be changed into a prime (66342380941) 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 239 ways as a sum of consecutive naturals, for example, 175045671 + ... + 175046049.

It is an arithmetic number, because the mean of its divisors is an integer number (342459040).

Almost surely, 266342380940 is an apocalyptic number.

66342380940 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 66342380940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123285254400).

66342380940 is an abundant number, since it is smaller than the sum of its proper divisors (180228127860).

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

66342380940 is a wasteful number, since it uses less digits than its factorization.

66342380940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 66342380940 in words is "sixty-six billion, three hundred forty-two million, three hundred eighty thousand, nine hundred forty".