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68340674160 = 243351142161
BaseRepresentation
bin111111101001011010…
…111110111001110000
320112101210000221202000
4333221122332321300
52104430203033120
651221213454000
74636355100663
oct775132767160
9215353027660
1068340674160
1126a8a590000
12112b31a1300
1365a173c745
1434444bb6da
151b9eae3990
hexfe96bee70

68340674160 has 400 divisors, whose sum is σ = 259053434400. Its totient is φ = 16559769600.

The previous prime is 68340674147. The next prime is 68340674189. The reversal of 68340674160 is 6147604386.

It is a happy number.

68340674160 is a `hidden beast` number, since 6 + 83 + 406 + 7 + 4 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 31623480 + ... + 31625640.

It is an arithmetic number, because the mean of its divisors is an integer number (647633586).

Almost surely, 268340674160 is an apocalyptic number.

68340674160 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 68340674160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129526717200).

68340674160 is an abundant number, since it is smaller than the sum of its proper divisors (190712760240).

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

68340674160 is a wasteful number, since it uses less digits than its factorization.

68340674160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 68340674160 in words is "sixty-eight billion, three hundred forty million, six hundred seventy-four thousand, one hundred sixty".