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7680666240 = 273551329131
BaseRepresentation
bin1110010011100110…
…11010101010000000
3201211021112021100000
413021303122222000
5111212222304430
63310051200000
7361222404642
oct71163325200
921737467300
107680666240
113291599255
1215a42a6000
13955336230
1452c100892
152ee46ce60
hex1c9cdaa80

7680666240 has 768 divisors, whose sum is σ = 30875644800. Its totient is φ = 1811496960.

The previous prime is 7680666223. The next prime is 7680666241. The reversal of 7680666240 is 426660867.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680666241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58630975 + ... + 58631105.

Almost surely, 27680666240 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 7680666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437822400).

7680666240 is an abundant number, since it is smaller than the sum of its proper divisors (23194978560).

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

7680666240 is a wasteful number, since it uses less digits than its factorization.

7680666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7680666240 is about 87639.4103129408. The cubic root of 7680666240 is about 1973.0267095207.

The spelling of 7680666240 in words is "seven billion, six hundred eighty million, six hundred sixty-six thousand, two hundred forty".