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66969769680 = 24355111953311
BaseRepresentation
bin111110010111101101…
…011001011011010000
320101212020102210100000
4332113231121123100
52044123230112210
650433202330000
74560400435632
oct762755313320
9211766383300
1066969769680
11264467641a0
1210b90059900
13641370a368
1433543c0a52
151b1e599ac0
hexf97b596d0

66969769680 has 960 divisors, whose sum is σ = 273762478080. Its totient is φ = 15041894400.

The previous prime is 66969769679. The next prime is 66969769739. The reversal of 66969769680 is 8696796966.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66969769599 and 66969769608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215336725 + ... + 215337035.

It is an arithmetic number, because the mean of its divisors is an integer number (285169248).

Almost surely, 266969769680 is an apocalyptic number.

66969769680 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 66969769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136881239040).

66969769680 is an abundant number, since it is smaller than the sum of its proper divisors (206792708400).

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

66969769680 is a wasteful number, since it uses less digits than its factorization.

66969769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 66969769680 in words is "sixty-six billion, nine hundred sixty-nine million, seven hundred sixty-nine thousand, six hundred eighty".