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67716383616 = 2734723113359
BaseRepresentation
bin111111000100001101…
…100000001110000000
320110210021022201010000
4333010031200032000
52102140343233431
651035233040000
74615034522640
oct770415401600
9213707281100
1067716383616
112679a151302
121115a0b6000
1365022ba85b
1433c5610520
151b64dc89e6
hexfc4360380

67716383616 has 640 divisors, whose sum is σ = 243127526400. Its totient is φ = 18291474432.

The previous prime is 67716383461. The next prime is 67716383699. The reversal of 67716383616 is 61638361776.

It is a happy number.

67716383616 is a `hidden beast` number, since 6 + 7 + 7 + 16 + 3 + 8 + 3 + 616 = 666.

It is a super-3 number, since 3×677163836163 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 188624845 + ... + 188625203.

It is an arithmetic number, because the mean of its divisors is an integer number (379886760).

Almost surely, 267716383616 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 67716383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121563763200).

67716383616 is an abundant number, since it is smaller than the sum of its proper divisors (175411142784).

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

67716383616 is a wasteful number, since it uses less digits than its factorization.

67716383616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 507 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 67716383616 in words is "sixty-seven billion, seven hundred sixteen million, three hundred eighty-three thousand, six hundred sixteen".