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66437479680 = 28351121317647
BaseRepresentation
bin111101110111111110…
…110111110100000000
320100111010211122201120
4331313332313310000
52042030443322210
650304305432240
74541245155015
oct756776676400
9210433748646
1066437479680
11261a3252900
1210a6193b680
13635a35ab70
14330382170c
151adc9a4270
hexf77fb7d00

66437479680 has 864 divisors, whose sum is σ = 266354065152. Its totient is φ = 13970964480.

The previous prime is 66437479673. The next prime is 66437479711. The reversal of 66437479680 is 8697473466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102685117 + ... + 102685763.

It is an arithmetic number, because the mean of its divisors is an integer number (308280168).

Almost surely, 266437479680 is an apocalyptic number.

66437479680 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 66437479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133177032576).

66437479680 is an abundant number, since it is smaller than the sum of its proper divisors (199916585472).

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

66437479680 is a wasteful number, since it uses less digits than its factorization.

66437479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 66437479680 in words is "sixty-six billion, four hundred thirty-seven million, four hundred seventy-nine thousand, six hundred eighty".