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66619530720 = 25325313734001
BaseRepresentation
bin111110000010110101…
…010101110111100000
320100221211101210210200
4332002311111313200
52042414044440340
650334331425200
74545615445041
oct760265256740
9210854353720
1066619530720
1126286a96506
1210ab28b5200
136388c9c482
14331da908c8
151aed965330
hexf82d55de0

66619530720 has 288 divisors, whose sum is σ = 235360629504. Its totient is φ = 17141760000.

The previous prime is 66619530667. The next prime is 66619530763. The reversal of 66619530720 is 2703591666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16648720 + ... + 16652720.

It is an arithmetic number, because the mean of its divisors is an integer number (817224408).

Almost surely, 266619530720 is an apocalyptic number.

66619530720 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 66619530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117680314752).

66619530720 is an abundant number, since it is smaller than the sum of its proper divisors (168741098784).

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

66619530720 is a wasteful number, since it uses less digits than its factorization.

66619530720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 66619530720 in words is "sixty-six billion, six hundred nineteen million, five hundred thirty thousand, seven hundred twenty".