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66897016320 = 2935107127641
BaseRepresentation
bin111110010011010111…
…110111011000000000
320101200011112112111010
4332103113313120000
52044001114010240
650422043120520
74555525154001
oct762327673000
9211604475433
1066897016320
1126409692552
1210b6b813140
136401616534
1433488831a8
151b17ec8280
hexf935f7600

66897016320 has 320 divisors, whose sum is σ = 217899196416. Its totient is φ = 17505976320.

The previous prime is 66897016313. The next prime is 66897016327. The reversal of 66897016320 is 2361079866.

It is an interprime number because it is at equal distance from previous prime (66897016313) and next prime (66897016327).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66897016320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66897016327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 104363200 + ... + 104363840.

Almost surely, 266897016320 is an apocalyptic number.

66897016320 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 66897016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108949598208).

66897016320 is an abundant number, since it is smaller than the sum of its proper divisors (151002180096).

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

66897016320 is a wasteful number, since it uses less digits than its factorization.

66897016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 66897016320 in words is "sixty-six billion, eight hundred ninety-seven million, sixteen thousand, three hundred twenty".