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64676167680 = 22435257
BaseRepresentation
bin111100001111000000…
…000000000000000000
320011221101121201212210
4330033000000000000
52024424044331210
645413430422120
74446510232425
oct741700000000
9204841551783
1064676167680
112547a013053
121064bb01940
136139495407
1431b7939d4c
151a3803de20
hexf0f000000

64676167680 has 200 divisors, whose sum is σ = 207769036752. Its totient is φ = 17179869184.

The previous prime is 64676167651. The next prime is 64676167697. The reversal of 64676167680 is 8676167646.

It is a zygodrome in base 2 and base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 64676167680.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 64676167680 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251658112 + ... + 251658368.

Almost surely, 264676167680 is an apocalyptic number.

64676167680 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 64676167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103884518376).

64676167680 is an abundant number, since it is smaller than the sum of its proper divisors (143092869072).

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

64676167680 is an frugal number, since it uses more digits than its factorization.

64676167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 64676167680 in words is "sixty-four billion, six hundred seventy-six million, one hundred sixty-seven thousand, six hundred eighty".