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6664917748608 = 27367293311063
BaseRepresentation
bin110000011111100110000…
…0011100000101110000000
3212121011022120120221000000
41200333030003200232000
51333144222420423413
622101453154000000
71255344606060330
oct140771403405600
925534276527000
106664917748608
11213a637351359
128b7857576000
13394664537cb2
14190825ad70c0
15b8583164073
hex60fcc0e0b80

6664917748608 has 896 divisors, whose sum is σ = 23629323916800. Its totient is φ = 1831318917120.

The previous prime is 6664917748591. The next prime is 6664917748609. The reversal of 6664917748608 is 8068477194666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×66649177486082 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6664917748609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6269912685 + ... + 6269913747.

It is an arithmetic number, because the mean of its divisors is an integer number (26372013300).

Almost surely, 26664917748608 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 6664917748608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814661958400).

6664917748608 is an abundant number, since it is smaller than the sum of its proper divisors (16964406168192).

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

6664917748608 is a wasteful number, since it uses less digits than its factorization.

6664917748608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 6664917748608 in words is "six trillion, six hundred sixty-four billion, nine hundred seventeen million, seven hundred forty-eight thousand, six hundred eight".