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68385969792 = 273571961271
BaseRepresentation
bin111111101100000111…
…110001011010000000
320112111221021012200000
4333230013301122000
52110023302013132
651225512400000
74640445103140
oct775407613200
9215457235600
1068385969792
1127003108308
12113063a6000
1365aac3b7aa
14344a50c920
151ba3a8e87c
hexfec1f1680

68385969792 has 768 divisors, whose sum is σ = 250450636800. Its totient is φ = 18139852800.

The previous prime is 68385969733. The next prime is 68385969793. The reversal of 68385969792 is 29796958386.

68385969792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68385969792.

It is not an unprimeable number, because it can be changed into a prime (68385969793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252346617 + ... + 252346887.

It is an arithmetic number, because the mean of its divisors is an integer number (326107600).

Almost surely, 268385969792 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 68385969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125225318400).

68385969792 is an abundant number, since it is smaller than the sum of its proper divisors (182064667008).

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

68385969792 is a wasteful number, since it uses less digits than its factorization.

68385969792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 363 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 68385969792 in words is "sixty-eight billion, three hundred eighty-five million, nine hundred sixty-nine thousand, seven hundred ninety-two".